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Finding the Fourth Proportional to 2,374.95, 3,561.41 and 815.10

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Solution

The fourth proportional to 2,374.95, 3,561.41 and 815.10 is: 1,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.95 : 3,561.41 = 815.10 : x
  2. Step 2: Convert to fraction form
    2,374.95/3,561.41 = 815.10/x
  3. Step 3: Cross multiply
    2,374.95x = 3,561.41 × 815.10
  4. Step 4: Simplify right side
    2,374.95x = 2,902,901.22
  5. Step 5: Solve for x
    x = 2,902,901.22/2,374.95
  6. Step 6: Final answer
    x = 1,222.30

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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.