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Finding the Fourth Proportional to 8,305.76, 12,448.56 and 3,560

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Solution

The fourth proportional to 8,305.76, 12,448.56 and 3,560 is: 5,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.76 : 12,448.56 = 3,560 : x
  2. Step 2: Convert to fraction form
    8,305.76/12,448.56 = 3,560/x
  3. Step 3: Cross multiply
    8,305.76x = 12,448.56 × 3,560
  4. Step 4: Simplify right side
    8,305.76x = 44,316,873.60
  5. Step 5: Solve for x
    x = 44,316,873.60/8,305.76
  6. Step 6: Final answer
    x = 5,335.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.