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Finding the Fourth Proportional to 21,987.60, 32,965.20 and 9,497.40

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Solution

The fourth proportional to 21,987.60, 32,965.20 and 9,497.40 is: 14,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.60 : 32,965.20 = 9,497.40 : x
  2. Step 2: Convert to fraction form
    21,987.60/32,965.20 = 9,497.40/x
  3. Step 3: Cross multiply
    21,987.60x = 32,965.20 × 9,497.40
  4. Step 4: Simplify right side
    21,987.60x = 313,083,690.48
  5. Step 5: Solve for x
    x = 313,083,690.48/21,987.60
  6. Step 6: Final answer
    x = 14,239.10

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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.