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Finding the Fourth Proportional to 1,807.50, 2,711.28 and 781.50

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Solution

The fourth proportional to 1,807.50, 2,711.28 and 781.50 is: 1,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.50 : 2,711.28 = 781.50 : x
  2. Step 2: Convert to fraction form
    1,807.50/2,711.28 = 781.50/x
  3. Step 3: Cross multiply
    1,807.50x = 2,711.28 × 781.50
  4. Step 4: Simplify right side
    1,807.50x = 2,118,865.32
  5. Step 5: Solve for x
    x = 2,118,865.32/1,807.50
  6. Step 6: Final answer
    x = 1,172.26

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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.