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Finding the Fourth Proportional to 7,773.20, 11,659.80 and 5,278.40

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Solution

The fourth proportional to 7,773.20, 11,659.80 and 5,278.40 is: 7,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.20 : 11,659.80 = 5,278.40 : x
  2. Step 2: Convert to fraction form
    7,773.20/11,659.80 = 5,278.40/x
  3. Step 3: Cross multiply
    7,773.20x = 11,659.80 × 5,278.40
  4. Step 4: Simplify right side
    7,773.20x = 61,545,088.32
  5. Step 5: Solve for x
    x = 61,545,088.32/7,773.20
  6. Step 6: Final answer
    x = 7,917.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.