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Finding the Fourth Proportional to 21,565, 32,347.64 and 7,524.97

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Solution

The fourth proportional to 21,565, 32,347.64 and 7,524.97 is: 11,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565 : 32,347.64 = 7,524.97 : x
  2. Step 2: Convert to fraction form
    21,565/32,347.64 = 7,524.97/x
  3. Step 3: Cross multiply
    21,565x = 32,347.64 × 7,524.97
  4. Step 4: Simplify right side
    21,565x = 243,415,020.57
  5. Step 5: Solve for x
    x = 243,415,020.57/21,565
  6. Step 6: Final answer
    x = 11,287.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.