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Finding the Fourth Proportional to 12,922.12, 17,842.44 and 9,393.76

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Solution

The fourth proportional to 12,922.12, 17,842.44 and 9,393.76 is: 12,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.12 : 17,842.44 = 9,393.76 : x
  2. Step 2: Convert to fraction form
    12,922.12/17,842.44 = 9,393.76/x
  3. Step 3: Cross multiply
    12,922.12x = 17,842.44 × 9,393.76
  4. Step 4: Simplify right side
    12,922.12x = 167,607,599.17
  5. Step 5: Solve for x
    x = 167,607,599.17/12,922.12
  6. Step 6: Final answer
    x = 12,970.60

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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.