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Finding the Fourth Proportional to 12,993.12, 17,925.84 and 7,400.88

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Solution

The fourth proportional to 12,993.12, 17,925.84 and 7,400.88 is: 10,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.12 : 17,925.84 = 7,400.88 : x
  2. Step 2: Convert to fraction form
    12,993.12/17,925.84 = 7,400.88/x
  3. Step 3: Cross multiply
    12,993.12x = 17,925.84 × 7,400.88
  4. Step 4: Simplify right side
    12,993.12x = 132,666,990.74
  5. Step 5: Solve for x
    x = 132,666,990.74/12,993.12
  6. Step 6: Final answer
    x = 10,210.56

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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.