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Finding the Fourth Proportional to 11,292, 15,582.48 and 6,256.20

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Solution

The fourth proportional to 11,292, 15,582.48 and 6,256.20 is: 8,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292 : 15,582.48 = 6,256.20 : x
  2. Step 2: Convert to fraction form
    11,292/15,582.48 = 6,256.20/x
  3. Step 3: Cross multiply
    11,292x = 15,582.48 × 6,256.20
  4. Step 4: Simplify right side
    11,292x = 97,487,111.38
  5. Step 5: Solve for x
    x = 97,487,111.38/11,292
  6. Step 6: Final answer
    x = 8,633.29

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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.