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Finding the Fourth Proportional to 2,214.98, 3,322.47 and 916.46

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Solution

The fourth proportional to 2,214.98, 3,322.47 and 916.46 is: 1,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.98 : 3,322.47 = 916.46 : x
  2. Step 2: Convert to fraction form
    2,214.98/3,322.47 = 916.46/x
  3. Step 3: Cross multiply
    2,214.98x = 3,322.47 × 916.46
  4. Step 4: Simplify right side
    2,214.98x = 3,044,910.86
  5. Step 5: Solve for x
    x = 3,044,910.86/2,214.98
  6. Step 6: Final answer
    x = 1,374.69

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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.