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Finding the Fourth Proportional to 6,487.51, 9,731.28 and 1,807.53

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Solution

The fourth proportional to 6,487.51, 9,731.28 and 1,807.53 is: 2,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.51 : 9,731.28 = 1,807.53 : x
  2. Step 2: Convert to fraction form
    6,487.51/9,731.28 = 1,807.53/x
  3. Step 3: Cross multiply
    6,487.51x = 9,731.28 × 1,807.53
  4. Step 4: Simplify right side
    6,487.51x = 17,589,580.54
  5. Step 5: Solve for x
    x = 17,589,580.54/6,487.51
  6. Step 6: Final answer
    x = 2,711.30

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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.