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Finding the Fourth Proportional to 5,646.35, 7,806.82 and 4,945.71

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Solution

The fourth proportional to 5,646.35, 7,806.82 and 4,945.71 is: 6,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.35 : 7,806.82 = 4,945.71 : x
  2. Step 2: Convert to fraction form
    5,646.35/7,806.82 = 4,945.71/x
  3. Step 3: Cross multiply
    5,646.35x = 7,806.82 × 4,945.71
  4. Step 4: Simplify right side
    5,646.35x = 38,610,267.74
  5. Step 5: Solve for x
    x = 38,610,267.74/5,646.35
  6. Step 6: Final answer
    x = 6,838.09

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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.