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Finding the Fourth Proportional to 9,781.30, 13,214.48 and 9,781.30

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Solution

The fourth proportional to 9,781.30, 13,214.48 and 9,781.30 is: 13,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.30 : 13,214.48 = 9,781.30 : x
  2. Step 2: Convert to fraction form
    9,781.30/13,214.48 = 9,781.30/x
  3. Step 3: Cross multiply
    9,781.30x = 13,214.48 × 9,781.30
  4. Step 4: Simplify right side
    9,781.30x = 129,254,793.22
  5. Step 5: Solve for x
    x = 129,254,793.22/9,781.30
  6. Step 6: Final answer
    x = 13,214.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.