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Finding the Fourth Proportional to 8,007.68, 12,019.20 and 4,547.84

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Solution

The fourth proportional to 8,007.68, 12,019.20 and 4,547.84 is: 6,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.68 : 12,019.20 = 4,547.84 : x
  2. Step 2: Convert to fraction form
    8,007.68/12,019.20 = 4,547.84/x
  3. Step 3: Cross multiply
    8,007.68x = 12,019.20 × 4,547.84
  4. Step 4: Simplify right side
    8,007.68x = 54,661,398.53
  5. Step 5: Solve for x
    x = 54,661,398.53/8,007.68
  6. Step 6: Final answer
    x = 6,826.12

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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.