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Finding the Fourth Proportional to 7,762.87, 10,711.34 and 4,577.17

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Solution

The fourth proportional to 7,762.87, 10,711.34 and 4,577.17 is: 6,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.87 : 10,711.34 = 4,577.17 : x
  2. Step 2: Convert to fraction form
    7,762.87/10,711.34 = 4,577.17/x
  3. Step 3: Cross multiply
    7,762.87x = 10,711.34 × 4,577.17
  4. Step 4: Simplify right side
    7,762.87x = 49,027,581.57
  5. Step 5: Solve for x
    x = 49,027,581.57/7,762.87
  6. Step 6: Final answer
    x = 6,315.65

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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.