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Finding the Fourth Proportional to 8,509.79, 12,762.38 and 5,385.11

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Solution

The fourth proportional to 8,509.79, 12,762.38 and 5,385.11 is: 8,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.79 : 12,762.38 = 5,385.11 : x
  2. Step 2: Convert to fraction form
    8,509.79/12,762.38 = 5,385.11/x
  3. Step 3: Cross multiply
    8,509.79x = 12,762.38 × 5,385.11
  4. Step 4: Simplify right side
    8,509.79x = 68,726,769.81
  5. Step 5: Solve for x
    x = 68,726,769.81/8,509.79
  6. Step 6: Final answer
    x = 8,076.20

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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.