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Finding the Fourth Proportional to 21,507.66, 32,260.68 and 9,820.80

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Solution

The fourth proportional to 21,507.66, 32,260.68 and 9,820.80 is: 14,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.66 : 32,260.68 = 9,820.80 : x
  2. Step 2: Convert to fraction form
    21,507.66/32,260.68 = 9,820.80/x
  3. Step 3: Cross multiply
    21,507.66x = 32,260.68 × 9,820.80
  4. Step 4: Simplify right side
    21,507.66x = 316,825,686.14
  5. Step 5: Solve for x
    x = 316,825,686.14/21,507.66
  6. Step 6: Final answer
    x = 14,730.83

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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.