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Finding the Fourth Proportional to 2,142.39, 2,956.89 and 1,210.89

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Solution

The fourth proportional to 2,142.39, 2,956.89 and 1,210.89 is: 1,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.39 : 2,956.89 = 1,210.89 : x
  2. Step 2: Convert to fraction form
    2,142.39/2,956.89 = 1,210.89/x
  3. Step 3: Cross multiply
    2,142.39x = 2,956.89 × 1,210.89
  4. Step 4: Simplify right side
    2,142.39x = 3,580,468.53
  5. Step 5: Solve for x
    x = 3,580,468.53/2,142.39
  6. Step 6: Final answer
    x = 1,671.25

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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.