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Finding the Fourth Proportional to 2,073.79, 2,861.13 and 1,409.50

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Solution

The fourth proportional to 2,073.79, 2,861.13 and 1,409.50 is: 1,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.79 : 2,861.13 = 1,409.50 : x
  2. Step 2: Convert to fraction form
    2,073.79/2,861.13 = 1,409.50/x
  3. Step 3: Cross multiply
    2,073.79x = 2,861.13 × 1,409.50
  4. Step 4: Simplify right side
    2,073.79x = 4,032,762.74
  5. Step 5: Solve for x
    x = 4,032,762.74/2,073.79
  6. Step 6: Final answer
    x = 1,944.63

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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.