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Finding the Fourth Proportional to 2,572.84, 3,548.10 and 1,689.40

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Solution

The fourth proportional to 2,572.84, 3,548.10 and 1,689.40 is: 2,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.84 : 3,548.10 = 1,689.40 : x
  2. Step 2: Convert to fraction form
    2,572.84/3,548.10 = 1,689.40/x
  3. Step 3: Cross multiply
    2,572.84x = 3,548.10 × 1,689.40
  4. Step 4: Simplify right side
    2,572.84x = 5,994,160.14
  5. Step 5: Solve for x
    x = 5,994,160.14/2,572.84
  6. Step 6: Final answer
    x = 2,329.78

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1.5x scale

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.