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Finding the Fourth Proportional to 28,585.57, 42,885.16 and 9,865.77

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Solution

The fourth proportional to 28,585.57, 42,885.16 and 9,865.77 is: 14,801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,585.57 : 42,885.16 = 9,865.77 : x
  2. Step 2: Convert to fraction form
    28,585.57/42,885.16 = 9,865.77/x
  3. Step 3: Cross multiply
    28,585.57x = 42,885.16 × 9,865.77
  4. Step 4: Simplify right side
    28,585.57x = 423,094,935.21
  5. Step 5: Solve for x
    x = 423,094,935.21/28,585.57
  6. Step 6: Final answer
    x = 14,801.00

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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.