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Finding the Fourth Proportional to 9,988.61, 13,780.08 and 7,006.39

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Solution

The fourth proportional to 9,988.61, 13,780.08 and 7,006.39 is: 9,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.61 : 13,780.08 = 7,006.39 : x
  2. Step 2: Convert to fraction form
    9,988.61/13,780.08 = 7,006.39/x
  3. Step 3: Cross multiply
    9,988.61x = 13,780.08 × 7,006.39
  4. Step 4: Simplify right side
    9,988.61x = 96,548,657.77
  5. Step 5: Solve for x
    x = 96,548,657.77/9,988.61
  6. Step 6: Final answer
    x = 9,665.87

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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.