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Finding the Fourth Proportional to 5,502.42, 8,254 and 1,606.50

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Solution

The fourth proportional to 5,502.42, 8,254 and 1,606.50 is: 2,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.42 : 8,254 = 1,606.50 : x
  2. Step 2: Convert to fraction form
    5,502.42/8,254 = 1,606.50/x
  3. Step 3: Cross multiply
    5,502.42x = 8,254 × 1,606.50
  4. Step 4: Simplify right side
    5,502.42x = 13,260,051
  5. Step 5: Solve for x
    x = 13,260,051/5,502.42
  6. Step 6: Final answer
    x = 2,409.86

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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.