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Finding the Fourth Proportional to 10,123.68, 13,970.12 and 6,347

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Solution

The fourth proportional to 10,123.68, 13,970.12 and 6,347 is: 8,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.68 : 13,970.12 = 6,347 : x
  2. Step 2: Convert to fraction form
    10,123.68/13,970.12 = 6,347/x
  3. Step 3: Cross multiply
    10,123.68x = 13,970.12 × 6,347
  4. Step 4: Simplify right side
    10,123.68x = 88,668,351.64
  5. Step 5: Solve for x
    x = 88,668,351.64/10,123.68
  6. Step 6: Final answer
    x = 8,758.51

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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.