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Finding the Fourth Proportional to 7,710.80, 11,573.40 and 6,616.40

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Solution

The fourth proportional to 7,710.80, 11,573.40 and 6,616.40 is: 9,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.80 : 11,573.40 = 6,616.40 : x
  2. Step 2: Convert to fraction form
    7,710.80/11,573.40 = 6,616.40/x
  3. Step 3: Cross multiply
    7,710.80x = 11,573.40 × 6,616.40
  4. Step 4: Simplify right side
    7,710.80x = 76,574,243.76
  5. Step 5: Solve for x
    x = 76,574,243.76/7,710.80
  6. Step 6: Final answer
    x = 9,930.78

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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.