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Finding the Fourth Proportional to 5,646.88, 7,775.76 and 4,713.76

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Solution

The fourth proportional to 5,646.88, 7,775.76 and 4,713.76 is: 6,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.88 : 7,775.76 = 4,713.76 : x
  2. Step 2: Convert to fraction form
    5,646.88/7,775.76 = 4,713.76/x
  3. Step 3: Cross multiply
    5,646.88x = 7,775.76 × 4,713.76
  4. Step 4: Simplify right side
    5,646.88x = 36,653,066.46
  5. Step 5: Solve for x
    x = 36,653,066.46/5,646.88
  6. Step 6: Final answer
    x = 6,490.85

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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.