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Finding the Fourth Proportional to 6,948.64, 10,411.32 and 6,678.88

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Solution

The fourth proportional to 6,948.64, 10,411.32 and 6,678.88 is: 10,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.64 : 10,411.32 = 6,678.88 : x
  2. Step 2: Convert to fraction form
    6,948.64/10,411.32 = 6,678.88/x
  3. Step 3: Cross multiply
    6,948.64x = 10,411.32 × 6,678.88
  4. Step 4: Simplify right side
    6,948.64x = 69,535,956.92
  5. Step 5: Solve for x
    x = 69,535,956.92/6,948.64
  6. Step 6: Final answer
    x = 10,007.13

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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.