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Finding the Fourth Proportional to 2,470, 3,406.98 and 1,584.40

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Solution

The fourth proportional to 2,470, 3,406.98 and 1,584.40 is: 2,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470 : 3,406.98 = 1,584.40 : x
  2. Step 2: Convert to fraction form
    2,470/3,406.98 = 1,584.40/x
  3. Step 3: Cross multiply
    2,470x = 3,406.98 × 1,584.40
  4. Step 4: Simplify right side
    2,470x = 5,398,019.11
  5. Step 5: Solve for x
    x = 5,398,019.11/2,470
  6. Step 6: Final answer
    x = 2,185.43

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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.