Home / 1,970.68-2,956.86-1,046.20

Finding the Fourth Proportional to 1,970.68, 2,956.86 and 1,046.20

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Solution

The fourth proportional to 1,970.68, 2,956.86 and 1,046.20 is: 1,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.68 : 2,956.86 = 1,046.20 : x
  2. Step 2: Convert to fraction form
    1,970.68/2,956.86 = 1,046.20/x
  3. Step 3: Cross multiply
    1,970.68x = 2,956.86 × 1,046.20
  4. Step 4: Simplify right side
    1,970.68x = 3,093,466.93
  5. Step 5: Solve for x
    x = 3,093,466.93/1,970.68
  6. Step 6: Final answer
    x = 1,569.75

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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.