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Finding the Fourth Proportional to 7,314.60, 10,947.60 and 5,127.60

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Solution

The fourth proportional to 7,314.60, 10,947.60 and 5,127.60 is: 7,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.60 : 10,947.60 = 5,127.60 : x
  2. Step 2: Convert to fraction form
    7,314.60/10,947.60 = 5,127.60/x
  3. Step 3: Cross multiply
    7,314.60x = 10,947.60 × 5,127.60
  4. Step 4: Simplify right side
    7,314.60x = 56,134,913.76
  5. Step 5: Solve for x
    x = 56,134,913.76/7,314.60
  6. Step 6: Final answer
    x = 7,674.37

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1.5x scale

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.