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Finding the Fourth Proportional to 8,535, 11,781.54 and 5,742.12

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Solution

The fourth proportional to 8,535, 11,781.54 and 5,742.12 is: 7,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535 : 11,781.54 = 5,742.12 : x
  2. Step 2: Convert to fraction form
    8,535/11,781.54 = 5,742.12/x
  3. Step 3: Cross multiply
    8,535x = 11,781.54 × 5,742.12
  4. Step 4: Simplify right side
    8,535x = 67,651,016.46
  5. Step 5: Solve for x
    x = 67,651,016.46/8,535
  6. Step 6: Final answer
    x = 7,926.31

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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.