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Finding the Fourth Proportional to 5,663.95, 7,815.69 and 3,145.93

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Solution

The fourth proportional to 5,663.95, 7,815.69 and 3,145.93 is: 4,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.95 : 7,815.69 = 3,145.93 : x
  2. Step 2: Convert to fraction form
    5,663.95/7,815.69 = 3,145.93/x
  3. Step 3: Cross multiply
    5,663.95x = 7,815.69 × 3,145.93
  4. Step 4: Simplify right side
    5,663.95x = 24,587,613.64
  5. Step 5: Solve for x
    x = 24,587,613.64/5,663.95
  6. Step 6: Final answer
    x = 4,341.07

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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.