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Finding the Fourth Proportional to 9,417, 14,127.78 and 2,842.78

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Solution

The fourth proportional to 9,417, 14,127.78 and 2,842.78 is: 4,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417 : 14,127.78 = 2,842.78 : x
  2. Step 2: Convert to fraction form
    9,417/14,127.78 = 2,842.78/x
  3. Step 3: Cross multiply
    9,417x = 14,127.78 × 2,842.78
  4. Step 4: Simplify right side
    9,417x = 40,162,170.43
  5. Step 5: Solve for x
    x = 40,162,170.43/9,417
  6. Step 6: Final answer
    x = 4,264.86

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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.