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Finding the Fourth Proportional to 3,541.60, 5,312.37 and 909.10

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Solution

The fourth proportional to 3,541.60, 5,312.37 and 909.10 is: 1,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.60 : 5,312.37 = 909.10 : x
  2. Step 2: Convert to fraction form
    3,541.60/5,312.37 = 909.10/x
  3. Step 3: Cross multiply
    3,541.60x = 5,312.37 × 909.10
  4. Step 4: Simplify right side
    3,541.60x = 4,829,475.57
  5. Step 5: Solve for x
    x = 4,829,475.57/3,541.60
  6. Step 6: Final answer
    x = 1,363.64

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.