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Finding the Fourth Proportional to 1,673.72, 2,310 and 1,010.62

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Solution

The fourth proportional to 1,673.72, 2,310 and 1,010.62 is: 1,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.72 : 2,310 = 1,010.62 : x
  2. Step 2: Convert to fraction form
    1,673.72/2,310 = 1,010.62/x
  3. Step 3: Cross multiply
    1,673.72x = 2,310 × 1,010.62
  4. Step 4: Simplify right side
    1,673.72x = 2,334,532.20
  5. Step 5: Solve for x
    x = 2,334,532.20/1,673.72
  6. Step 6: Final answer
    x = 1,394.82

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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.