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Finding the Fourth Proportional to 7,711.61, 11,573.85 and 7,225.61

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Solution

The fourth proportional to 7,711.61, 11,573.85 and 7,225.61 is: 10,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.61 : 11,573.85 = 7,225.61 : x
  2. Step 2: Convert to fraction form
    7,711.61/11,573.85 = 7,225.61/x
  3. Step 3: Cross multiply
    7,711.61x = 11,573.85 × 7,225.61
  4. Step 4: Simplify right side
    7,711.61x = 83,628,095.53
  5. Step 5: Solve for x
    x = 83,628,095.53/7,711.61
  6. Step 6: Final answer
    x = 10,844.45

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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.