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Finding the Fourth Proportional to 12,883.86, 17,780.76 and 7,219.87

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Solution

The fourth proportional to 12,883.86, 17,780.76 and 7,219.87 is: 9,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.86 : 17,780.76 = 7,219.87 : x
  2. Step 2: Convert to fraction form
    12,883.86/17,780.76 = 7,219.87/x
  3. Step 3: Cross multiply
    12,883.86x = 17,780.76 × 7,219.87
  4. Step 4: Simplify right side
    12,883.86x = 128,374,775.70
  5. Step 5: Solve for x
    x = 128,374,775.70/12,883.86
  6. Step 6: Final answer
    x = 9,964.00

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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.