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Finding the Fourth Proportional to 7,956, 10,985.76 and 6,897.60

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Solution

The fourth proportional to 7,956, 10,985.76 and 6,897.60 is: 9,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956 : 10,985.76 = 6,897.60 : x
  2. Step 2: Convert to fraction form
    7,956/10,985.76 = 6,897.60/x
  3. Step 3: Cross multiply
    7,956x = 10,985.76 × 6,897.60
  4. Step 4: Simplify right side
    7,956x = 75,775,378.18
  5. Step 5: Solve for x
    x = 75,775,378.18/7,956
  6. Step 6: Final answer
    x = 9,524.31

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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.