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Finding the Fourth Proportional to 9,117.80, 12,739 and 9,117.80

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Solution

The fourth proportional to 9,117.80, 12,739 and 9,117.80 is: 12,739

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.80 : 12,739 = 9,117.80 : x
  2. Step 2: Convert to fraction form
    9,117.80/12,739 = 9,117.80/x
  3. Step 3: Cross multiply
    9,117.80x = 12,739 × 9,117.80
  4. Step 4: Simplify right side
    9,117.80x = 116,151,654.20
  5. Step 5: Solve for x
    x = 116,151,654.20/9,117.80
  6. Step 6: Final answer
    x = 12,739

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.