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Finding the Fourth Proportional to 2,099.29, 3,148.93 and 560.29

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Solution

The fourth proportional to 2,099.29, 3,148.93 and 560.29 is: 840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.29 : 3,148.93 = 560.29 : x
  2. Step 2: Convert to fraction form
    2,099.29/3,148.93 = 560.29/x
  3. Step 3: Cross multiply
    2,099.29x = 3,148.93 × 560.29
  4. Step 4: Simplify right side
    2,099.29x = 1,764,313.99
  5. Step 5: Solve for x
    x = 1,764,313.99/2,099.29
  6. Step 6: Final answer
    x = 840.43

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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.