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Finding the Fourth Proportional to 10,031.74, 13,829.37 and 7,038.29

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Solution

The fourth proportional to 10,031.74, 13,829.37 and 7,038.29 is: 9,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.74 : 13,829.37 = 7,038.29 : x
  2. Step 2: Convert to fraction form
    10,031.74/13,829.37 = 7,038.29/x
  3. Step 3: Cross multiply
    10,031.74x = 13,829.37 × 7,038.29
  4. Step 4: Simplify right side
    10,031.74x = 97,335,116.58
  5. Step 5: Solve for x
    x = 97,335,116.58/10,031.74
  6. Step 6: Final answer
    x = 9,702.72

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