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Finding the Fourth Proportional to 7,289.89, 10,881.92 and 6,777.16

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Solution

The fourth proportional to 7,289.89, 10,881.92 and 6,777.16 is: 10,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.89 : 10,881.92 = 6,777.16 : x
  2. Step 2: Convert to fraction form
    7,289.89/10,881.92 = 6,777.16/x
  3. Step 3: Cross multiply
    7,289.89x = 10,881.92 × 6,777.16
  4. Step 4: Simplify right side
    7,289.89x = 73,748,502.69
  5. Step 5: Solve for x
    x = 73,748,502.69/7,289.89
  6. Step 6: Final answer
    x = 10,116.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.