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Finding the Fourth Proportional to 7,218, 10,820.52 and 2,599.92

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Solution

The fourth proportional to 7,218, 10,820.52 and 2,599.92 is: 3,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218 : 10,820.52 = 2,599.92 : x
  2. Step 2: Convert to fraction form
    7,218/10,820.52 = 2,599.92/x
  3. Step 3: Cross multiply
    7,218x = 10,820.52 × 2,599.92
  4. Step 4: Simplify right side
    7,218x = 28,132,486.36
  5. Step 5: Solve for x
    x = 28,132,486.36/7,218
  6. Step 6: Final answer
    x = 3,897.55

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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.