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Finding the Fourth Proportional to 1,792.91, 2,474.79 and 1,421.53

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Solution

The fourth proportional to 1,792.91, 2,474.79 and 1,421.53 is: 1,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.91 : 2,474.79 = 1,421.53 : x
  2. Step 2: Convert to fraction form
    1,792.91/2,474.79 = 1,421.53/x
  3. Step 3: Cross multiply
    1,792.91x = 2,474.79 × 1,421.53
  4. Step 4: Simplify right side
    1,792.91x = 3,517,976.71
  5. Step 5: Solve for x
    x = 3,517,976.71/1,792.91
  6. Step 6: Final answer
    x = 1,962.16

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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.