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Finding the Fourth Proportional to 1,683.79, 2,510.39 and 1,640.52

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Solution

The fourth proportional to 1,683.79, 2,510.39 and 1,640.52 is: 2,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.79 : 2,510.39 = 1,640.52 : x
  2. Step 2: Convert to fraction form
    1,683.79/2,510.39 = 1,640.52/x
  3. Step 3: Cross multiply
    1,683.79x = 2,510.39 × 1,640.52
  4. Step 4: Simplify right side
    1,683.79x = 4,118,349.10
  5. Step 5: Solve for x
    x = 4,118,349.10/1,683.79
  6. Step 6: Final answer
    x = 2,445.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.