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Finding the Fourth Proportional to 3,071.34, 4,607.17 and 880.40

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Solution

The fourth proportional to 3,071.34, 4,607.17 and 880.40 is: 1,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.34 : 4,607.17 = 880.40 : x
  2. Step 2: Convert to fraction form
    3,071.34/4,607.17 = 880.40/x
  3. Step 3: Cross multiply
    3,071.34x = 4,607.17 × 880.40
  4. Step 4: Simplify right side
    3,071.34x = 4,056,161.78
  5. Step 5: Solve for x
    x = 4,056,161.78/3,071.34
  6. Step 6: Final answer
    x = 1,320.65

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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.