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Finding the Fourth Proportional to 7,931,985.34, 11,897,978.12 and 5,235,679.81

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Solution

The fourth proportional to 7,931,985.34, 11,897,978.12 and 5,235,679.81 is: 7,853,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931,985.34 : 11,897,978.12 = 5,235,679.81 : x
  2. Step 2: Convert to fraction form
    7,931,985.34/11,897,978.12 = 5,235,679.81/x
  3. Step 3: Cross multiply
    7,931,985.34x = 11,897,978.12 × 5,235,679.81
  4. Step 4: Simplify right side
    7,931,985.34x = 62,294,003,822,705.75
  5. Step 5: Solve for x
    x = 62,294,003,822,705.75/7,931,985.34
  6. Step 6: Final answer
    x = 7,853,519.79

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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.