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Finding the Fourth Proportional to 2,865.12, 4,296.48 and 916.80

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Solution

The fourth proportional to 2,865.12, 4,296.48 and 916.80 is: 1,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.12 : 4,296.48 = 916.80 : x
  2. Step 2: Convert to fraction form
    2,865.12/4,296.48 = 916.80/x
  3. Step 3: Cross multiply
    2,865.12x = 4,296.48 × 916.80
  4. Step 4: Simplify right side
    2,865.12x = 3,939,012.86
  5. Step 5: Solve for x
    x = 3,939,012.86/2,865.12
  6. Step 6: Final answer
    x = 1,374.82

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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.