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Finding the Fourth Proportional to 7,001.31, 9,663.23 and 4,019.20

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Solution

The fourth proportional to 7,001.31, 9,663.23 and 4,019.20 is: 5,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.31 : 9,663.23 = 4,019.20 : x
  2. Step 2: Convert to fraction form
    7,001.31/9,663.23 = 4,019.20/x
  3. Step 3: Cross multiply
    7,001.31x = 9,663.23 × 4,019.20
  4. Step 4: Simplify right side
    7,001.31x = 38,838,439.91
  5. Step 5: Solve for x
    x = 38,838,439.91/7,001.31
  6. Step 6: Final answer
    x = 5,547.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.