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Finding the Fourth Proportional to 10,292, 15,458.72 and 6,140.12

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Solution

The fourth proportional to 10,292, 15,458.72 and 6,140.12 is: 9,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292 : 15,458.72 = 6,140.12 : x
  2. Step 2: Convert to fraction form
    10,292/15,458.72 = 6,140.12/x
  3. Step 3: Cross multiply
    10,292x = 15,458.72 × 6,140.12
  4. Step 4: Simplify right side
    10,292x = 94,918,395.85
  5. Step 5: Solve for x
    x = 94,918,395.85/10,292
  6. Step 6: Final answer
    x = 9,222.54

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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.