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Finding the Fourth Proportional to 7,611.77, 11,417.69 and 2,678.74

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Solution

The fourth proportional to 7,611.77, 11,417.69 and 2,678.74 is: 4,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.77 : 11,417.69 = 2,678.74 : x
  2. Step 2: Convert to fraction form
    7,611.77/11,417.69 = 2,678.74/x
  3. Step 3: Cross multiply
    7,611.77x = 11,417.69 × 2,678.74
  4. Step 4: Simplify right side
    7,611.77x = 30,585,001.06
  5. Step 5: Solve for x
    x = 30,585,001.06/7,611.77
  6. Step 6: Final answer
    x = 4,018.12

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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.