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Finding the Fourth Proportional to 7,960.78, 10,986.10 and 4,774.59

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Solution

The fourth proportional to 7,960.78, 10,986.10 and 4,774.59 is: 6,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.78 : 10,986.10 = 4,774.59 : x
  2. Step 2: Convert to fraction form
    7,960.78/10,986.10 = 4,774.59/x
  3. Step 3: Cross multiply
    7,960.78x = 10,986.10 × 4,774.59
  4. Step 4: Simplify right side
    7,960.78x = 52,454,111.26
  5. Step 5: Solve for x
    x = 52,454,111.26/7,960.78
  6. Step 6: Final answer
    x = 6,589.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.