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Finding the Fourth Proportional to 7,158,314.76, 9,878,327.94 and 3,895,194.12

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Solution

The fourth proportional to 7,158,314.76, 9,878,327.94 and 3,895,194.12 is: 5,375,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158,314.76 : 9,878,327.94 = 3,895,194.12 : x
  2. Step 2: Convert to fraction form
    7,158,314.76/9,878,327.94 = 3,895,194.12/x
  3. Step 3: Cross multiply
    7,158,314.76x = 9,878,327.94 × 3,895,194.12
  4. Step 4: Simplify right side
    7,158,314.76x = 38,478,004,907,319.71
  5. Step 5: Solve for x
    x = 38,478,004,907,319.71/7,158,314.76
  6. Step 6: Final answer
    x = 5,375,288.21

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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.