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Finding the Fourth Proportional to 7,312.24, 10,091 and 4,328

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Solution

The fourth proportional to 7,312.24, 10,091 and 4,328 is: 5,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.24 : 10,091 = 4,328 : x
  2. Step 2: Convert to fraction form
    7,312.24/10,091 = 4,328/x
  3. Step 3: Cross multiply
    7,312.24x = 10,091 × 4,328
  4. Step 4: Simplify right side
    7,312.24x = 43,673,848
  5. Step 5: Solve for x
    x = 43,673,848/7,312.24
  6. Step 6: Final answer
    x = 5,972.70

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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.