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Finding the Fourth Proportional to 2,690.51, 4,034.30 and 841.13

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Solution

The fourth proportional to 2,690.51, 4,034.30 and 841.13 is: 1,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.51 : 4,034.30 = 841.13 : x
  2. Step 2: Convert to fraction form
    2,690.51/4,034.30 = 841.13/x
  3. Step 3: Cross multiply
    2,690.51x = 4,034.30 × 841.13
  4. Step 4: Simplify right side
    2,690.51x = 3,393,366.55
  5. Step 5: Solve for x
    x = 3,393,366.55/2,690.51
  6. Step 6: Final answer
    x = 1,261.24

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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.