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Finding the Fourth Proportional to 7,656, 10,569.60 and 5,789.76

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Solution

The fourth proportional to 7,656, 10,569.60 and 5,789.76 is: 7,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656 : 10,569.60 = 5,789.76 : x
  2. Step 2: Convert to fraction form
    7,656/10,569.60 = 5,789.76/x
  3. Step 3: Cross multiply
    7,656x = 10,569.60 × 5,789.76
  4. Step 4: Simplify right side
    7,656x = 61,195,447.30
  5. Step 5: Solve for x
    x = 61,195,447.30/7,656
  6. Step 6: Final answer
    x = 7,993.14

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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.