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Finding the Fourth Proportional to 7,715.40, 11,574 and 3,034.80

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Solution

The fourth proportional to 7,715.40, 11,574 and 3,034.80 is: 4,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.40 : 11,574 = 3,034.80 : x
  2. Step 2: Convert to fraction form
    7,715.40/11,574 = 3,034.80/x
  3. Step 3: Cross multiply
    7,715.40x = 11,574 × 3,034.80
  4. Step 4: Simplify right side
    7,715.40x = 35,124,775.20
  5. Step 5: Solve for x
    x = 35,124,775.20/7,715.40
  6. Step 6: Final answer
    x = 4,552.55

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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.