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Finding the Fourth Proportional to 21,062.88, 31,591.08 and 7,023.15

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Solution

The fourth proportional to 21,062.88, 31,591.08 and 7,023.15 is: 10,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062.88 : 31,591.08 = 7,023.15 : x
  2. Step 2: Convert to fraction form
    21,062.88/31,591.08 = 7,023.15/x
  3. Step 3: Cross multiply
    21,062.88x = 31,591.08 × 7,023.15
  4. Step 4: Simplify right side
    21,062.88x = 221,868,893.50
  5. Step 5: Solve for x
    x = 221,868,893.50/21,062.88
  6. Step 6: Final answer
    x = 10,533.64

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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.