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Finding the Fourth Proportional to 8,693.76, 13,075.20 and 8,171.52

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Solution

The fourth proportional to 8,693.76, 13,075.20 and 8,171.52 is: 12,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.76 : 13,075.20 = 8,171.52 : x
  2. Step 2: Convert to fraction form
    8,693.76/13,075.20 = 8,171.52/x
  3. Step 3: Cross multiply
    8,693.76x = 13,075.20 × 8,171.52
  4. Step 4: Simplify right side
    8,693.76x = 106,844,258.30
  5. Step 5: Solve for x
    x = 106,844,258.30/8,693.76
  6. Step 6: Final answer
    x = 12,289.76

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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.