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Finding the Fourth Proportional to 5,124.40, 7,687.80 and 1,661.68

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Solution

The fourth proportional to 5,124.40, 7,687.80 and 1,661.68 is: 2,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.40 : 7,687.80 = 1,661.68 : x
  2. Step 2: Convert to fraction form
    5,124.40/7,687.80 = 1,661.68/x
  3. Step 3: Cross multiply
    5,124.40x = 7,687.80 × 1,661.68
  4. Step 4: Simplify right side
    5,124.40x = 12,774,663.50
  5. Step 5: Solve for x
    x = 12,774,663.50/5,124.40
  6. Step 6: Final answer
    x = 2,492.91

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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.