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Finding the Fourth Proportional to 3,145.90, 4,718.88 and 837.40

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Solution

The fourth proportional to 3,145.90, 4,718.88 and 837.40 is: 1,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.90 : 4,718.88 = 837.40 : x
  2. Step 2: Convert to fraction form
    3,145.90/4,718.88 = 837.40/x
  3. Step 3: Cross multiply
    3,145.90x = 4,718.88 × 837.40
  4. Step 4: Simplify right side
    3,145.90x = 3,951,590.11
  5. Step 5: Solve for x
    x = 3,951,590.11/3,145.90
  6. Step 6: Final answer
    x = 1,256.11

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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.