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Finding the Fourth Proportional to 12,310.71, 16,988.94 and 7,005.66

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Solution

The fourth proportional to 12,310.71, 16,988.94 and 7,005.66 is: 9,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.71 : 16,988.94 = 7,005.66 : x
  2. Step 2: Convert to fraction form
    12,310.71/16,988.94 = 7,005.66/x
  3. Step 3: Cross multiply
    12,310.71x = 16,988.94 × 7,005.66
  4. Step 4: Simplify right side
    12,310.71x = 119,018,737.40
  5. Step 5: Solve for x
    x = 119,018,737.40/12,310.71
  6. Step 6: Final answer
    x = 9,667.90

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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.