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Finding the Fourth Proportional to 6,934.70, 9,547.71 and 5,612.78

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Solution

The fourth proportional to 6,934.70, 9,547.71 and 5,612.78 is: 7,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.70 : 9,547.71 = 5,612.78 : x
  2. Step 2: Convert to fraction form
    6,934.70/9,547.71 = 5,612.78/x
  3. Step 3: Cross multiply
    6,934.70x = 9,547.71 × 5,612.78
  4. Step 4: Simplify right side
    6,934.70x = 53,589,148.00
  5. Step 5: Solve for x
    x = 53,589,148.00/6,934.70
  6. Step 6: Final answer
    x = 7,727.69

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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.