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Finding the Fourth Proportional to 7,776.80, 11,666.88 and 3,613.76

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Solution

The fourth proportional to 7,776.80, 11,666.88 and 3,613.76 is: 5,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.80 : 11,666.88 = 3,613.76 : x
  2. Step 2: Convert to fraction form
    7,776.80/11,666.88 = 3,613.76/x
  3. Step 3: Cross multiply
    7,776.80x = 11,666.88 × 3,613.76
  4. Step 4: Simplify right side
    7,776.80x = 42,161,304.27
  5. Step 5: Solve for x
    x = 42,161,304.27/7,776.80
  6. Step 6: Final answer
    x = 5,421.42

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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.