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Finding the Fourth Proportional to 7,657.84, 11,478.84 and 4,187.68

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Solution

The fourth proportional to 7,657.84, 11,478.84 and 4,187.68 is: 6,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.84 : 11,478.84 = 4,187.68 : x
  2. Step 2: Convert to fraction form
    7,657.84/11,478.84 = 4,187.68/x
  3. Step 3: Cross multiply
    7,657.84x = 11,478.84 × 4,187.68
  4. Step 4: Simplify right side
    7,657.84x = 48,069,708.69
  5. Step 5: Solve for x
    x = 48,069,708.69/7,657.84
  6. Step 6: Final answer
    x = 6,277.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.