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Finding the Fourth Proportional to 2,895.80, 4,344.17 and 947.57

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Solution

The fourth proportional to 2,895.80, 4,344.17 and 947.57 is: 1,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.80 : 4,344.17 = 947.57 : x
  2. Step 2: Convert to fraction form
    2,895.80/4,344.17 = 947.57/x
  3. Step 3: Cross multiply
    2,895.80x = 4,344.17 × 947.57
  4. Step 4: Simplify right side
    2,895.80x = 4,116,378.71
  5. Step 5: Solve for x
    x = 4,116,378.71/2,895.80
  6. Step 6: Final answer
    x = 1,421.50

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Half scale
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Double scale
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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.