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Finding the Fourth Proportional to 2,017.92, 3,026.90 and 631.35

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Solution

The fourth proportional to 2,017.92, 3,026.90 and 631.35 is: 947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.92 : 3,026.90 = 631.35 : x
  2. Step 2: Convert to fraction form
    2,017.92/3,026.90 = 631.35/x
  3. Step 3: Cross multiply
    2,017.92x = 3,026.90 × 631.35
  4. Step 4: Simplify right side
    2,017.92x = 1,911,030.16
  5. Step 5: Solve for x
    x = 1,911,030.16/2,017.92
  6. Step 6: Final answer
    x = 947.03

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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.