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Finding the Fourth Proportional to 12,448.68, 17,178.48 and 7,143

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Solution

The fourth proportional to 12,448.68, 17,178.48 and 7,143 is: 9,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.68 : 17,178.48 = 7,143 : x
  2. Step 2: Convert to fraction form
    12,448.68/17,178.48 = 7,143/x
  3. Step 3: Cross multiply
    12,448.68x = 17,178.48 × 7,143
  4. Step 4: Simplify right side
    12,448.68x = 122,705,882.64
  5. Step 5: Solve for x
    x = 122,705,882.64/12,448.68
  6. Step 6: Final answer
    x = 9,856.94

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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.