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Finding the Fourth Proportional to 9,781.92, 13,498.92 and 5,590.08

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Solution

The fourth proportional to 9,781.92, 13,498.92 and 5,590.08 is: 7,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.92 : 13,498.92 = 5,590.08 : x
  2. Step 2: Convert to fraction form
    9,781.92/13,498.92 = 5,590.08/x
  3. Step 3: Cross multiply
    9,781.92x = 13,498.92 × 5,590.08
  4. Step 4: Simplify right side
    9,781.92x = 75,460,042.71
  5. Step 5: Solve for x
    x = 75,460,042.71/9,781.92
  6. Step 6: Final answer
    x = 7,714.24

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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.