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Finding the Fourth Proportional to 3,720.92, 5,582.34 and 1,411.16

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Solution

The fourth proportional to 3,720.92, 5,582.34 and 1,411.16 is: 2,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.92 : 5,582.34 = 1,411.16 : x
  2. Step 2: Convert to fraction form
    3,720.92/5,582.34 = 1,411.16/x
  3. Step 3: Cross multiply
    3,720.92x = 5,582.34 × 1,411.16
  4. Step 4: Simplify right side
    3,720.92x = 7,877,574.91
  5. Step 5: Solve for x
    x = 7,877,574.91/3,720.92
  6. Step 6: Final answer
    x = 2,117.10

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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.