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Finding the Fourth Proportional to 8,777.65, 12,109.77 and 5,414.63

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Solution

The fourth proportional to 8,777.65, 12,109.77 and 5,414.63 is: 7,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.65 : 12,109.77 = 5,414.63 : x
  2. Step 2: Convert to fraction form
    8,777.65/12,109.77 = 5,414.63/x
  3. Step 3: Cross multiply
    8,777.65x = 12,109.77 × 5,414.63
  4. Step 4: Simplify right side
    8,777.65x = 65,569,931.50
  5. Step 5: Solve for x
    x = 65,569,931.50/8,777.65
  6. Step 6: Final answer
    x = 7,470.10

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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.