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Finding the Fourth Proportional to 7,657.56, 10,567.95 and 5,143.86

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Solution

The fourth proportional to 7,657.56, 10,567.95 and 5,143.86 is: 7,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.56 : 10,567.95 = 5,143.86 : x
  2. Step 2: Convert to fraction form
    7,657.56/10,567.95 = 5,143.86/x
  3. Step 3: Cross multiply
    7,657.56x = 10,567.95 × 5,143.86
  4. Step 4: Simplify right side
    7,657.56x = 54,360,055.29
  5. Step 5: Solve for x
    x = 54,360,055.29/7,657.56
  6. Step 6: Final answer
    x = 7,098.87

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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.