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Finding the Fourth Proportional to 27,423, 41,140.98 and 8,955

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Solution

The fourth proportional to 27,423, 41,140.98 and 8,955 is: 13,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423 : 41,140.98 = 8,955 : x
  2. Step 2: Convert to fraction form
    27,423/41,140.98 = 8,955/x
  3. Step 3: Cross multiply
    27,423x = 41,140.98 × 8,955
  4. Step 4: Simplify right side
    27,423x = 368,417,475.90
  5. Step 5: Solve for x
    x = 368,417,475.90/27,423
  6. Step 6: Final answer
    x = 13,434.62

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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.