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Finding the Fourth Proportional to 1,888.74, 2,833.74 and 914.94

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Solution

The fourth proportional to 1,888.74, 2,833.74 and 914.94 is: 1,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.74 : 2,833.74 = 914.94 : x
  2. Step 2: Convert to fraction form
    1,888.74/2,833.74 = 914.94/x
  3. Step 3: Cross multiply
    1,888.74x = 2,833.74 × 914.94
  4. Step 4: Simplify right side
    1,888.74x = 2,592,702.08
  5. Step 5: Solve for x
    x = 2,592,702.08/1,888.74
  6. Step 6: Final answer
    x = 1,372.72

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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.