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Finding the Fourth Proportional to 10,472.16, 14,443.22 and 6,890.80

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Solution

The fourth proportional to 10,472.16, 14,443.22 and 6,890.80 is: 9,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.16 : 14,443.22 = 6,890.80 : x
  2. Step 2: Convert to fraction form
    10,472.16/14,443.22 = 6,890.80/x
  3. Step 3: Cross multiply
    10,472.16x = 14,443.22 × 6,890.80
  4. Step 4: Simplify right side
    10,472.16x = 99,525,340.38
  5. Step 5: Solve for x
    x = 99,525,340.38/10,472.16
  6. Step 6: Final answer
    x = 9,503.80

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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.