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Finding the Fourth Proportional to 11,413, 15,751.38 and 6,445

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Solution

The fourth proportional to 11,413, 15,751.38 and 6,445 is: 8,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413 : 15,751.38 = 6,445 : x
  2. Step 2: Convert to fraction form
    11,413/15,751.38 = 6,445/x
  3. Step 3: Cross multiply
    11,413x = 15,751.38 × 6,445
  4. Step 4: Simplify right side
    11,413x = 101,517,644.10
  5. Step 5: Solve for x
    x = 101,517,644.10/11,413
  6. Step 6: Final answer
    x = 8,894.91

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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.