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Finding the Fourth Proportional to 27,009.71, 40,460.29 and 13,460

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Solution

The fourth proportional to 27,009.71, 40,460.29 and 13,460 is: 20,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.71 : 40,460.29 = 13,460 : x
  2. Step 2: Convert to fraction form
    27,009.71/40,460.29 = 13,460/x
  3. Step 3: Cross multiply
    27,009.71x = 40,460.29 × 13,460
  4. Step 4: Simplify right side
    27,009.71x = 544,595,503.40
  5. Step 5: Solve for x
    x = 544,595,503.40/27,009.71
  6. Step 6: Final answer
    x = 20,162.95

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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.