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Finding the Fourth Proportional to 1,680.63, 2,509.65 and 1,373.10

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Solution

The fourth proportional to 1,680.63, 2,509.65 and 1,373.10 is: 2,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.63 : 2,509.65 = 1,373.10 : x
  2. Step 2: Convert to fraction form
    1,680.63/2,509.65 = 1,373.10/x
  3. Step 3: Cross multiply
    1,680.63x = 2,509.65 × 1,373.10
  4. Step 4: Simplify right side
    1,680.63x = 3,446,000.42
  5. Step 5: Solve for x
    x = 3,446,000.42/1,680.63
  6. Step 6: Final answer
    x = 2,050.42

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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.