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Finding the Fourth Proportional to 4,297.92, 6,447.04 and 1,560

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Solution

The fourth proportional to 4,297.92, 6,447.04 and 1,560 is: 2,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.92 : 6,447.04 = 1,560 : x
  2. Step 2: Convert to fraction form
    4,297.92/6,447.04 = 1,560/x
  3. Step 3: Cross multiply
    4,297.92x = 6,447.04 × 1,560
  4. Step 4: Simplify right side
    4,297.92x = 10,057,382.40
  5. Step 5: Solve for x
    x = 10,057,382.40/4,297.92
  6. Step 6: Final answer
    x = 2,340.06

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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.