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Finding the Fourth Proportional to 7,880.47, 10,875.39 and 4,523.42

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Solution

The fourth proportional to 7,880.47, 10,875.39 and 4,523.42 is: 6,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.47 : 10,875.39 = 4,523.42 : x
  2. Step 2: Convert to fraction form
    7,880.47/10,875.39 = 4,523.42/x
  3. Step 3: Cross multiply
    7,880.47x = 10,875.39 × 4,523.42
  4. Step 4: Simplify right side
    7,880.47x = 49,193,956.63
  5. Step 5: Solve for x
    x = 49,193,956.63/7,880.47
  6. Step 6: Final answer
    x = 6,242.52

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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.