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Finding the Fourth Proportional to 3,124.76, 4,689.16 and 1,483.16

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Solution

The fourth proportional to 3,124.76, 4,689.16 and 1,483.16 is: 2,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.76 : 4,689.16 = 1,483.16 : x
  2. Step 2: Convert to fraction form
    3,124.76/4,689.16 = 1,483.16/x
  3. Step 3: Cross multiply
    3,124.76x = 4,689.16 × 1,483.16
  4. Step 4: Simplify right side
    3,124.76x = 6,954,747.39
  5. Step 5: Solve for x
    x = 6,954,747.39/3,124.76
  6. Step 6: Final answer
    x = 2,225.69

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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.