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Finding the Fourth Proportional to 2,674.64, 3,689.80 and 1,570

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Solution

The fourth proportional to 2,674.64, 3,689.80 and 1,570 is: 2,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.64 : 3,689.80 = 1,570 : x
  2. Step 2: Convert to fraction form
    2,674.64/3,689.80 = 1,570/x
  3. Step 3: Cross multiply
    2,674.64x = 3,689.80 × 1,570
  4. Step 4: Simplify right side
    2,674.64x = 5,792,986
  5. Step 5: Solve for x
    x = 5,792,986/2,674.64
  6. Step 6: Final answer
    x = 2,165.89

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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.