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Finding the Fourth Proportional to 15,993, 22,069.86 and 9,278.18

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Solution

The fourth proportional to 15,993, 22,069.86 and 9,278.18 is: 12,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993 : 22,069.86 = 9,278.18 : x
  2. Step 2: Convert to fraction form
    15,993/22,069.86 = 9,278.18/x
  3. Step 3: Cross multiply
    15,993x = 22,069.86 × 9,278.18
  4. Step 4: Simplify right side
    15,993x = 204,768,023.31
  5. Step 5: Solve for x
    x = 204,768,023.31/15,993
  6. Step 6: Final answer
    x = 12,803.60

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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.