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Finding the Fourth Proportional to 21,405.59, 32,094.71 and 10,290.16

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Solution

The fourth proportional to 21,405.59, 32,094.71 and 10,290.16 is: 15,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.59 : 32,094.71 = 10,290.16 : x
  2. Step 2: Convert to fraction form
    21,405.59/32,094.71 = 10,290.16/x
  3. Step 3: Cross multiply
    21,405.59x = 32,094.71 × 10,290.16
  4. Step 4: Simplify right side
    21,405.59x = 330,259,489.13
  5. Step 5: Solve for x
    x = 330,259,489.13/21,405.59
  6. Step 6: Final answer
    x = 15,428.66

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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.