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Finding the Fourth Proportional to 7,971.60, 12,010.62 and 7,341.84

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Solution

The fourth proportional to 7,971.60, 12,010.62 and 7,341.84 is: 11,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.60 : 12,010.62 = 7,341.84 : x
  2. Step 2: Convert to fraction form
    7,971.60/12,010.62 = 7,341.84/x
  3. Step 3: Cross multiply
    7,971.60x = 12,010.62 × 7,341.84
  4. Step 4: Simplify right side
    7,971.60x = 88,180,050.34
  5. Step 5: Solve for x
    x = 88,180,050.34/7,971.60
  6. Step 6: Final answer
    x = 11,061.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.