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Finding the Fourth Proportional to 7,897.78, 11,852.79 and 2,971.90

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Solution

The fourth proportional to 7,897.78, 11,852.79 and 2,971.90 is: 4,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.78 : 11,852.79 = 2,971.90 : x
  2. Step 2: Convert to fraction form
    7,897.78/11,852.79 = 2,971.90/x
  3. Step 3: Cross multiply
    7,897.78x = 11,852.79 × 2,971.90
  4. Step 4: Simplify right side
    7,897.78x = 35,225,306.60
  5. Step 5: Solve for x
    x = 35,225,306.60/7,897.78
  6. Step 6: Final answer
    x = 4,460.15

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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.