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Finding the Fourth Proportional to 15,413, 21,269.96 and 8,339.40

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Solution

The fourth proportional to 15,413, 21,269.96 and 8,339.40 is: 11,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413 : 21,269.96 = 8,339.40 : x
  2. Step 2: Convert to fraction form
    15,413/21,269.96 = 8,339.40/x
  3. Step 3: Cross multiply
    15,413x = 21,269.96 × 8,339.40
  4. Step 4: Simplify right side
    15,413x = 177,378,704.42
  5. Step 5: Solve for x
    x = 177,378,704.42/15,413
  6. Step 6: Final answer
    x = 11,508.38

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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.