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Finding the Fourth Proportional to 2,807.60, 4,209.60 and 1,164.80

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Solution

The fourth proportional to 2,807.60, 4,209.60 and 1,164.80 is: 1,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.60 : 4,209.60 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    2,807.60/4,209.60 = 1,164.80/x
  3. Step 3: Cross multiply
    2,807.60x = 4,209.60 × 1,164.80
  4. Step 4: Simplify right side
    2,807.60x = 4,903,342.08
  5. Step 5: Solve for x
    x = 4,903,342.08/2,807.60
  6. Step 6: Final answer
    x = 1,746.45

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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.