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Finding the Fourth Proportional to 28,538.40, 42,807.60 and 21,977.40

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Solution

The fourth proportional to 28,538.40, 42,807.60 and 21,977.40 is: 32,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538.40 : 42,807.60 = 21,977.40 : x
  2. Step 2: Convert to fraction form
    28,538.40/42,807.60 = 21,977.40/x
  3. Step 3: Cross multiply
    28,538.40x = 42,807.60 × 21,977.40
  4. Step 4: Simplify right side
    28,538.40x = 940,799,748.24
  5. Step 5: Solve for x
    x = 940,799,748.24/28,538.40
  6. Step 6: Final answer
    x = 32,966.10

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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.