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Finding the Fourth Proportional to 8,404.32, 11,595.76 and 4,865.40

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Solution

The fourth proportional to 8,404.32, 11,595.76 and 4,865.40 is: 6,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.32 : 11,595.76 = 4,865.40 : x
  2. Step 2: Convert to fraction form
    8,404.32/11,595.76 = 4,865.40/x
  3. Step 3: Cross multiply
    8,404.32x = 11,595.76 × 4,865.40
  4. Step 4: Simplify right side
    8,404.32x = 56,418,010.70
  5. Step 5: Solve for x
    x = 56,418,010.70/8,404.32
  6. Step 6: Final answer
    x = 6,712.98

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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.