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Finding the Fourth Proportional to 2,995.81, 4,493.88 and 916.13

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Solution

The fourth proportional to 2,995.81, 4,493.88 and 916.13 is: 1,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.81 : 4,493.88 = 916.13 : x
  2. Step 2: Convert to fraction form
    2,995.81/4,493.88 = 916.13/x
  3. Step 3: Cross multiply
    2,995.81x = 4,493.88 × 916.13
  4. Step 4: Simplify right side
    2,995.81x = 4,116,989.52
  5. Step 5: Solve for x
    x = 4,116,989.52/2,995.81
  6. Step 6: Final answer
    x = 1,374.25

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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.