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Finding the Fourth Proportional to 21,710.97, 32,570.78 and 9,230.90

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Solution

The fourth proportional to 21,710.97, 32,570.78 and 9,230.90 is: 13,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.97 : 32,570.78 = 9,230.90 : x
  2. Step 2: Convert to fraction form
    21,710.97/32,570.78 = 9,230.90/x
  3. Step 3: Cross multiply
    21,710.97x = 32,570.78 × 9,230.90
  4. Step 4: Simplify right side
    21,710.97x = 300,657,404.09
  5. Step 5: Solve for x
    x = 300,657,404.09/21,710.97
  6. Step 6: Final answer
    x = 13,848.18

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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.