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Finding the Fourth Proportional to 10,292, 14,204.88 and 6,100.16

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Solution

The fourth proportional to 10,292, 14,204.88 and 6,100.16 is: 8,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292 : 14,204.88 = 6,100.16 : x
  2. Step 2: Convert to fraction form
    10,292/14,204.88 = 6,100.16/x
  3. Step 3: Cross multiply
    10,292x = 14,204.88 × 6,100.16
  4. Step 4: Simplify right side
    10,292x = 86,652,040.78
  5. Step 5: Solve for x
    x = 86,652,040.78/10,292
  6. Step 6: Final answer
    x = 8,419.36

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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.