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Finding the Fourth Proportional to 2,503.95, 3,750.80 and 1,406.01

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Solution

The fourth proportional to 2,503.95, 3,750.80 and 1,406.01 is: 2,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.95 : 3,750.80 = 1,406.01 : x
  2. Step 2: Convert to fraction form
    2,503.95/3,750.80 = 1,406.01/x
  3. Step 3: Cross multiply
    2,503.95x = 3,750.80 × 1,406.01
  4. Step 4: Simplify right side
    2,503.95x = 5,273,662.31
  5. Step 5: Solve for x
    x = 5,273,662.31/2,503.95
  6. Step 6: Final answer
    x = 2,106.14

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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.