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Finding the Fourth Proportional to 9,981.78, 13,675.02 and 9,607.92

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Solution

The fourth proportional to 9,981.78, 13,675.02 and 9,607.92 is: 13,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.78 : 13,675.02 = 9,607.92 : x
  2. Step 2: Convert to fraction form
    9,981.78/13,675.02 = 9,607.92/x
  3. Step 3: Cross multiply
    9,981.78x = 13,675.02 × 9,607.92
  4. Step 4: Simplify right side
    9,981.78x = 131,388,498.16
  5. Step 5: Solve for x
    x = 131,388,498.16/9,981.78
  6. Step 6: Final answer
    x = 13,162.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.