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Finding the Fourth Proportional to 12,559.68, 17,336.88 and 7,842.24

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Solution

The fourth proportional to 12,559.68, 17,336.88 and 7,842.24 is: 10,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.68 : 17,336.88 = 7,842.24 : x
  2. Step 2: Convert to fraction form
    12,559.68/17,336.88 = 7,842.24/x
  3. Step 3: Cross multiply
    12,559.68x = 17,336.88 × 7,842.24
  4. Step 4: Simplify right side
    12,559.68x = 135,959,973.81
  5. Step 5: Solve for x
    x = 135,959,973.81/12,559.68
  6. Step 6: Final answer
    x = 10,825.11

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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.