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Finding the Fourth Proportional to 10,385.36, 15,578.06 and 6,897.68

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Solution

The fourth proportional to 10,385.36, 15,578.06 and 6,897.68 is: 10,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.36 : 15,578.06 = 6,897.68 : x
  2. Step 2: Convert to fraction form
    10,385.36/15,578.06 = 6,897.68/x
  3. Step 3: Cross multiply
    10,385.36x = 15,578.06 × 6,897.68
  4. Step 4: Simplify right side
    10,385.36x = 107,452,472.90
  5. Step 5: Solve for x
    x = 107,452,472.90/10,385.36
  6. Step 6: Final answer
    x = 10,346.53

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1.5x scale

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.