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Finding the Fourth Proportional to 10,031.16, 15,029.62 and 7,104.60

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Solution

The fourth proportional to 10,031.16, 15,029.62 and 7,104.60 is: 10,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.16 : 15,029.62 = 7,104.60 : x
  2. Step 2: Convert to fraction form
    10,031.16/15,029.62 = 7,104.60/x
  3. Step 3: Cross multiply
    10,031.16x = 15,029.62 × 7,104.60
  4. Step 4: Simplify right side
    10,031.16x = 106,779,438.25
  5. Step 5: Solve for x
    x = 106,779,438.25/10,031.16
  6. Step 6: Final answer
    x = 10,644.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.