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Finding the Fourth Proportional to 3,411.44, 5,117.12 and 912.62

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Solution

The fourth proportional to 3,411.44, 5,117.12 and 912.62 is: 1,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.44 : 5,117.12 = 912.62 : x
  2. Step 2: Convert to fraction form
    3,411.44/5,117.12 = 912.62/x
  3. Step 3: Cross multiply
    3,411.44x = 5,117.12 × 912.62
  4. Step 4: Simplify right side
    3,411.44x = 4,669,994.28
  5. Step 5: Solve for x
    x = 4,669,994.28/3,411.44
  6. Step 6: Final answer
    x = 1,368.92

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1.5x scale

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.