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Finding the Fourth Proportional to 2,840.84, 4,260.96 and 761.06

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Solution

The fourth proportional to 2,840.84, 4,260.96 and 761.06 is: 1,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.84 : 4,260.96 = 761.06 : x
  2. Step 2: Convert to fraction form
    2,840.84/4,260.96 = 761.06/x
  3. Step 3: Cross multiply
    2,840.84x = 4,260.96 × 761.06
  4. Step 4: Simplify right side
    2,840.84x = 3,242,824.91
  5. Step 5: Solve for x
    x = 3,242,824.91/2,840.84
  6. Step 6: Final answer
    x = 1,141.50

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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.