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Finding the Fourth Proportional to 3,381.63, 5,071.83 and 916.13

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Solution

The fourth proportional to 3,381.63, 5,071.83 and 916.13 is: 1,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.63 : 5,071.83 = 916.13 : x
  2. Step 2: Convert to fraction form
    3,381.63/5,071.83 = 916.13/x
  3. Step 3: Cross multiply
    3,381.63x = 5,071.83 × 916.13
  4. Step 4: Simplify right side
    3,381.63x = 4,646,455.62
  5. Step 5: Solve for x
    x = 4,646,455.62/3,381.63
  6. Step 6: Final answer
    x = 1,374.03

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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.