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Finding the Fourth Proportional to 7,312.59, 10,960.47 and 3,408.75

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Solution

The fourth proportional to 7,312.59, 10,960.47 and 3,408.75 is: 5,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.59 : 10,960.47 = 3,408.75 : x
  2. Step 2: Convert to fraction form
    7,312.59/10,960.47 = 3,408.75/x
  3. Step 3: Cross multiply
    7,312.59x = 10,960.47 × 3,408.75
  4. Step 4: Simplify right side
    7,312.59x = 37,361,502.11
  5. Step 5: Solve for x
    x = 37,361,502.11/7,312.59
  6. Step 6: Final answer
    x = 5,109.20

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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.