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Finding the Fourth Proportional to 21,833.60, 32,750.40 and 5,417.60

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Solution

The fourth proportional to 21,833.60, 32,750.40 and 5,417.60 is: 8,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.60 : 32,750.40 = 5,417.60 : x
  2. Step 2: Convert to fraction form
    21,833.60/32,750.40 = 5,417.60/x
  3. Step 3: Cross multiply
    21,833.60x = 32,750.40 × 5,417.60
  4. Step 4: Simplify right side
    21,833.60x = 177,428,567.04
  5. Step 5: Solve for x
    x = 177,428,567.04/21,833.60
  6. Step 6: Final answer
    x = 8,126.40

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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.