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Finding the Fourth Proportional to 3,071.61, 4,607.40 and 880.35

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Solution

The fourth proportional to 3,071.61, 4,607.40 and 880.35 is: 1,320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.61 : 4,607.40 = 880.35 : x
  2. Step 2: Convert to fraction form
    3,071.61/4,607.40 = 880.35/x
  3. Step 3: Cross multiply
    3,071.61x = 4,607.40 × 880.35
  4. Step 4: Simplify right side
    3,071.61x = 4,056,124.59
  5. Step 5: Solve for x
    x = 4,056,124.59/3,071.61
  6. Step 6: Final answer
    x = 1,320.52

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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.