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Finding the Fourth Proportional to 7,880.49, 11,820.72 and 5,407.81

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Solution

The fourth proportional to 7,880.49, 11,820.72 and 5,407.81 is: 8,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.49 : 11,820.72 = 5,407.81 : x
  2. Step 2: Convert to fraction form
    7,880.49/11,820.72 = 5,407.81/x
  3. Step 3: Cross multiply
    7,880.49x = 11,820.72 × 5,407.81
  4. Step 4: Simplify right side
    7,880.49x = 63,924,207.82
  5. Step 5: Solve for x
    x = 63,924,207.82/7,880.49
  6. Step 6: Final answer
    x = 8,111.70

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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.