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Finding the Fourth Proportional to 2,261.45, 3,393.18 and 875.07

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Solution

The fourth proportional to 2,261.45, 3,393.18 and 875.07 is: 1,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.45 : 3,393.18 = 875.07 : x
  2. Step 2: Convert to fraction form
    2,261.45/3,393.18 = 875.07/x
  3. Step 3: Cross multiply
    2,261.45x = 3,393.18 × 875.07
  4. Step 4: Simplify right side
    2,261.45x = 2,969,270.02
  5. Step 5: Solve for x
    x = 2,969,270.02/2,261.45
  6. Step 6: Final answer
    x = 1,312.99

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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.