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Finding the Fourth Proportional to 10,865.92, 14,995.10 and 6,329.76

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Solution

The fourth proportional to 10,865.92, 14,995.10 and 6,329.76 is: 8,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.92 : 14,995.10 = 6,329.76 : x
  2. Step 2: Convert to fraction form
    10,865.92/14,995.10 = 6,329.76/x
  3. Step 3: Cross multiply
    10,865.92x = 14,995.10 × 6,329.76
  4. Step 4: Simplify right side
    10,865.92x = 94,915,384.18
  5. Step 5: Solve for x
    x = 94,915,384.18/10,865.92
  6. Step 6: Final answer
    x = 8,735.14

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1.5x scale

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.