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Finding the Fourth Proportional to 2,847.72, 3,929.72 and 1,588.70

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Solution

The fourth proportional to 2,847.72, 3,929.72 and 1,588.70 is: 2,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.72 : 3,929.72 = 1,588.70 : x
  2. Step 2: Convert to fraction form
    2,847.72/3,929.72 = 1,588.70/x
  3. Step 3: Cross multiply
    2,847.72x = 3,929.72 × 1,588.70
  4. Step 4: Simplify right side
    2,847.72x = 6,243,146.16
  5. Step 5: Solve for x
    x = 6,243,146.16/2,847.72
  6. Step 6: Final answer
    x = 2,192.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.