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Finding the Fourth Proportional to 12,306.61, 16,981.41 and 7,000.84

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Solution

The fourth proportional to 12,306.61, 16,981.41 and 7,000.84 is: 9,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.61 : 16,981.41 = 7,000.84 : x
  2. Step 2: Convert to fraction form
    12,306.61/16,981.41 = 7,000.84/x
  3. Step 3: Cross multiply
    12,306.61x = 16,981.41 × 7,000.84
  4. Step 4: Simplify right side
    12,306.61x = 118,884,134.38
  5. Step 5: Solve for x
    x = 118,884,134.38/12,306.61
  6. Step 6: Final answer
    x = 9,660.19

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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.