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Finding the Fourth Proportional to 2,802.92, 4,205.10 and 1,071.68

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Solution

The fourth proportional to 2,802.92, 4,205.10 and 1,071.68 is: 1,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.92 : 4,205.10 = 1,071.68 : x
  2. Step 2: Convert to fraction form
    2,802.92/4,205.10 = 1,071.68/x
  3. Step 3: Cross multiply
    2,802.92x = 4,205.10 × 1,071.68
  4. Step 4: Simplify right side
    2,802.92x = 4,506,521.57
  5. Step 5: Solve for x
    x = 4,506,521.57/2,802.92
  6. Step 6: Final answer
    x = 1,607.80

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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.