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Finding the Fourth Proportional to 2,141.47, 3,210.81 and 970.21

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Solution

The fourth proportional to 2,141.47, 3,210.81 and 970.21 is: 1,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.47 : 3,210.81 = 970.21 : x
  2. Step 2: Convert to fraction form
    2,141.47/3,210.81 = 970.21/x
  3. Step 3: Cross multiply
    2,141.47x = 3,210.81 × 970.21
  4. Step 4: Simplify right side
    2,141.47x = 3,115,159.97
  5. Step 5: Solve for x
    x = 3,115,159.97/2,141.47
  6. Step 6: Final answer
    x = 1,454.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.