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Finding the Fourth Proportional to 7,880.64, 10,875.84 and 4,524

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Solution

The fourth proportional to 7,880.64, 10,875.84 and 4,524 is: 6,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.64 : 10,875.84 = 4,524 : x
  2. Step 2: Convert to fraction form
    7,880.64/10,875.84 = 4,524/x
  3. Step 3: Cross multiply
    7,880.64x = 10,875.84 × 4,524
  4. Step 4: Simplify right side
    7,880.64x = 49,202,300.16
  5. Step 5: Solve for x
    x = 49,202,300.16/7,880.64
  6. Step 6: Final answer
    x = 6,243.44

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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.