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Finding the Fourth Proportional to 5,262, 7,888.86 and 2,922.81

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Solution

The fourth proportional to 5,262, 7,888.86 and 2,922.81 is: 4,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262 : 7,888.86 = 2,922.81 : x
  2. Step 2: Convert to fraction form
    5,262/7,888.86 = 2,922.81/x
  3. Step 3: Cross multiply
    5,262x = 7,888.86 × 2,922.81
  4. Step 4: Simplify right side
    5,262x = 23,057,638.90
  5. Step 5: Solve for x
    x = 23,057,638.90/5,262
  6. Step 6: Final answer
    x = 4,381.92

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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.