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Finding the Fourth Proportional to 12,842.18, 17,720.94 and 7,176.47

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Solution

The fourth proportional to 12,842.18, 17,720.94 and 7,176.47 is: 9,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.18 : 17,720.94 = 7,176.47 : x
  2. Step 2: Convert to fraction form
    12,842.18/17,720.94 = 7,176.47/x
  3. Step 3: Cross multiply
    12,842.18x = 17,720.94 × 7,176.47
  4. Step 4: Simplify right side
    12,842.18x = 127,173,794.28
  5. Step 5: Solve for x
    x = 127,173,794.28/12,842.18
  6. Step 6: Final answer
    x = 9,902.82

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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.