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Finding the Fourth Proportional to 28,541.52, 42,801.66 and 9,816.30

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Solution

The fourth proportional to 28,541.52, 42,801.66 and 9,816.30 is: 14,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,541.52 : 42,801.66 = 9,816.30 : x
  2. Step 2: Convert to fraction form
    28,541.52/42,801.66 = 9,816.30/x
  3. Step 3: Cross multiply
    28,541.52x = 42,801.66 × 9,816.30
  4. Step 4: Simplify right side
    28,541.52x = 420,153,935.06
  5. Step 5: Solve for x
    x = 420,153,935.06/28,541.52
  6. Step 6: Final answer
    x = 14,720.80

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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.