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Finding the Fourth Proportional to 21,686.66, 32,504.89 and 9,975.30

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Solution

The fourth proportional to 21,686.66, 32,504.89 and 9,975.30 is: 14,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.66 : 32,504.89 = 9,975.30 : x
  2. Step 2: Convert to fraction form
    21,686.66/32,504.89 = 9,975.30/x
  3. Step 3: Cross multiply
    21,686.66x = 32,504.89 × 9,975.30
  4. Step 4: Simplify right side
    21,686.66x = 324,246,029.22
  5. Step 5: Solve for x
    x = 324,246,029.22/21,686.66
  6. Step 6: Final answer
    x = 14,951.40

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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.