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Finding the Fourth Proportional to 21,870.60, 32,805.90 and 13,000.20

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Solution

The fourth proportional to 21,870.60, 32,805.90 and 13,000.20 is: 19,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.60 : 32,805.90 = 13,000.20 : x
  2. Step 2: Convert to fraction form
    21,870.60/32,805.90 = 13,000.20/x
  3. Step 3: Cross multiply
    21,870.60x = 32,805.90 × 13,000.20
  4. Step 4: Simplify right side
    21,870.60x = 426,483,261.18
  5. Step 5: Solve for x
    x = 426,483,261.18/21,870.60
  6. Step 6: Final answer
    x = 19,500.30

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Similar ratio
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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.