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Finding the Fourth Proportional to 10,678.34, 14,721.28 and 9,201.98

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Solution

The fourth proportional to 10,678.34, 14,721.28 and 9,201.98 is: 12,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.34 : 14,721.28 = 9,201.98 : x
  2. Step 2: Convert to fraction form
    10,678.34/14,721.28 = 9,201.98/x
  3. Step 3: Cross multiply
    10,678.34x = 14,721.28 × 9,201.98
  4. Step 4: Simplify right side
    10,678.34x = 135,464,827.52
  5. Step 5: Solve for x
    x = 135,464,827.52/10,678.34
  6. Step 6: Final answer
    x = 12,685.95

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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.