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Finding the Fourth Proportional to 7,913.19, 11,815.35 and 6,981.42

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Solution

The fourth proportional to 7,913.19, 11,815.35 and 6,981.42 is: 10,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.19 : 11,815.35 = 6,981.42 : x
  2. Step 2: Convert to fraction form
    7,913.19/11,815.35 = 6,981.42/x
  3. Step 3: Cross multiply
    7,913.19x = 11,815.35 × 6,981.42
  4. Step 4: Simplify right side
    7,913.19x = 82,487,920.80
  5. Step 5: Solve for x
    x = 82,487,920.80/7,913.19
  6. Step 6: Final answer
    x = 10,424.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.