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Finding the Fourth Proportional to 13,322.52, 18,384.84 and 7,657.20

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Solution

The fourth proportional to 13,322.52, 18,384.84 and 7,657.20 is: 10,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.52 : 18,384.84 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    13,322.52/18,384.84 = 7,657.20/x
  3. Step 3: Cross multiply
    13,322.52x = 18,384.84 × 7,657.20
  4. Step 4: Simplify right side
    13,322.52x = 140,776,396.85
  5. Step 5: Solve for x
    x = 140,776,396.85/13,322.52
  6. Step 6: Final answer
    x = 10,566.80

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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.