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Finding the Fourth Proportional to 15,449.68, 23,178.84 and 6,678.64

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Solution

The fourth proportional to 15,449.68, 23,178.84 and 6,678.64 is: 10,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,449.68 : 23,178.84 = 6,678.64 : x
  2. Step 2: Convert to fraction form
    15,449.68/23,178.84 = 6,678.64/x
  3. Step 3: Cross multiply
    15,449.68x = 23,178.84 × 6,678.64
  4. Step 4: Simplify right side
    15,449.68x = 154,803,127.98
  5. Step 5: Solve for x
    x = 154,803,127.98/15,449.68
  6. Step 6: Final answer
    x = 10,019.83

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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.