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Finding the Fourth Proportional to 7,812.60, 10,777.50 and 5,816.76

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Solution

The fourth proportional to 7,812.60, 10,777.50 and 5,816.76 is: 8,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.60 : 10,777.50 = 5,816.76 : x
  2. Step 2: Convert to fraction form
    7,812.60/10,777.50 = 5,816.76/x
  3. Step 3: Cross multiply
    7,812.60x = 10,777.50 × 5,816.76
  4. Step 4: Simplify right side
    7,812.60x = 62,690,130.90
  5. Step 5: Solve for x
    x = 62,690,130.90/7,812.60
  6. Step 6: Final answer
    x = 8,024.23

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1.5x scale

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.