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Finding the Fourth Proportional to 11,460, 15,815.04 and 6,492

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Solution

The fourth proportional to 11,460, 15,815.04 and 6,492 is: 8,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460 : 15,815.04 = 6,492 : x
  2. Step 2: Convert to fraction form
    11,460/15,815.04 = 6,492/x
  3. Step 3: Cross multiply
    11,460x = 15,815.04 × 6,492
  4. Step 4: Simplify right side
    11,460x = 102,671,239.68
  5. Step 5: Solve for x
    x = 102,671,239.68/11,460
  6. Step 6: Final answer
    x = 8,959.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.