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Finding the Fourth Proportional to 1,886.55, 2,830.29 and 1,337.07

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Solution

The fourth proportional to 1,886.55, 2,830.29 and 1,337.07 is: 2,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.55 : 2,830.29 = 1,337.07 : x
  2. Step 2: Convert to fraction form
    1,886.55/2,830.29 = 1,337.07/x
  3. Step 3: Cross multiply
    1,886.55x = 2,830.29 × 1,337.07
  4. Step 4: Simplify right side
    1,886.55x = 3,784,295.85
  5. Step 5: Solve for x
    x = 3,784,295.85/1,886.55
  6. Step 6: Final answer
    x = 2,005.93

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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.