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Finding the Fourth Proportional to 2,630.93, 3,948.82 and 1,807.16

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Solution

The fourth proportional to 2,630.93, 3,948.82 and 1,807.16 is: 2,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.93 : 3,948.82 = 1,807.16 : x
  2. Step 2: Convert to fraction form
    2,630.93/3,948.82 = 1,807.16/x
  3. Step 3: Cross multiply
    2,630.93x = 3,948.82 × 1,807.16
  4. Step 4: Simplify right side
    2,630.93x = 7,136,125.29
  5. Step 5: Solve for x
    x = 7,136,125.29/2,630.93
  6. Step 6: Final answer
    x = 2,712.40

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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.