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Finding the Fourth Proportional to 7,774.52, 11,661.23 and 1,931.12

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Solution

The fourth proportional to 7,774.52, 11,661.23 and 1,931.12 is: 2,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.52 : 11,661.23 = 1,931.12 : x
  2. Step 2: Convert to fraction form
    7,774.52/11,661.23 = 1,931.12/x
  3. Step 3: Cross multiply
    7,774.52x = 11,661.23 × 1,931.12
  4. Step 4: Simplify right side
    7,774.52x = 22,519,253.98
  5. Step 5: Solve for x
    x = 22,519,253.98/7,774.52
  6. Step 6: Final answer
    x = 2,896.55

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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.