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Finding the Fourth Proportional to 7,862.72, 11,796 and 2,598.06

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Solution

The fourth proportional to 7,862.72, 11,796 and 2,598.06 is: 3,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.72 : 11,796 = 2,598.06 : x
  2. Step 2: Convert to fraction form
    7,862.72/11,796 = 2,598.06/x
  3. Step 3: Cross multiply
    7,862.72x = 11,796 × 2,598.06
  4. Step 4: Simplify right side
    7,862.72x = 30,646,715.76
  5. Step 5: Solve for x
    x = 30,646,715.76/7,862.72
  6. Step 6: Final answer
    x = 3,897.72

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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.