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Finding the Fourth Proportional to 7,805.68, 11,708.88 and 4,340.32

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Solution

The fourth proportional to 7,805.68, 11,708.88 and 4,340.32 is: 6,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.68 : 11,708.88 = 4,340.32 : x
  2. Step 2: Convert to fraction form
    7,805.68/11,708.88 = 4,340.32/x
  3. Step 3: Cross multiply
    7,805.68x = 11,708.88 × 4,340.32
  4. Step 4: Simplify right side
    7,805.68x = 50,820,286.04
  5. Step 5: Solve for x
    x = 50,820,286.04/7,805.68
  6. Step 6: Final answer
    x = 6,510.68

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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.