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Finding the Fourth Proportional to 6,657.68, 9,188.86 and 4,140.81

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Solution

The fourth proportional to 6,657.68, 9,188.86 and 4,140.81 is: 5,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.68 : 9,188.86 = 4,140.81 : x
  2. Step 2: Convert to fraction form
    6,657.68/9,188.86 = 4,140.81/x
  3. Step 3: Cross multiply
    6,657.68x = 9,188.86 × 4,140.81
  4. Step 4: Simplify right side
    6,657.68x = 38,049,323.38
  5. Step 5: Solve for x
    x = 38,049,323.38/6,657.68
  6. Step 6: Final answer
    x = 5,715.10

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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.