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Finding the Fourth Proportional to 11,492.70, 15,854.72 and 7,240.82

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Solution

The fourth proportional to 11,492.70, 15,854.72 and 7,240.82 is: 9,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.70 : 15,854.72 = 7,240.82 : x
  2. Step 2: Convert to fraction form
    11,492.70/15,854.72 = 7,240.82/x
  3. Step 3: Cross multiply
    11,492.70x = 15,854.72 × 7,240.82
  4. Step 4: Simplify right side
    11,492.70x = 114,801,058.19
  5. Step 5: Solve for x
    x = 114,801,058.19/11,492.70
  6. Step 6: Final answer
    x = 9,989.04

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1.5x scale

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.