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Finding the Fourth Proportional to 4,762.60, 7,146.72 and 2,656

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Solution

The fourth proportional to 4,762.60, 7,146.72 and 2,656 is: 3,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.60 : 7,146.72 = 2,656 : x
  2. Step 2: Convert to fraction form
    4,762.60/7,146.72 = 2,656/x
  3. Step 3: Cross multiply
    4,762.60x = 7,146.72 × 2,656
  4. Step 4: Simplify right side
    4,762.60x = 18,981,688.32
  5. Step 5: Solve for x
    x = 18,981,688.32/4,762.60
  6. Step 6: Final answer
    x = 3,985.57

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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.