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Finding the Fourth Proportional to 10,492, 15,742.05 and 4,945.12

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Solution

The fourth proportional to 10,492, 15,742.05 and 4,945.12 is: 7,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492 : 15,742.05 = 4,945.12 : x
  2. Step 2: Convert to fraction form
    10,492/15,742.05 = 4,945.12/x
  3. Step 3: Cross multiply
    10,492x = 15,742.05 × 4,945.12
  4. Step 4: Simplify right side
    10,492x = 77,846,326.30
  5. Step 5: Solve for x
    x = 77,846,326.30/10,492
  6. Step 6: Final answer
    x = 7,419.59

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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.