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Finding the Fourth Proportional to 2,187.90, 3,019.07 and 1,303.53

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Solution

The fourth proportional to 2,187.90, 3,019.07 and 1,303.53 is: 1,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.90 : 3,019.07 = 1,303.53 : x
  2. Step 2: Convert to fraction form
    2,187.90/3,019.07 = 1,303.53/x
  3. Step 3: Cross multiply
    2,187.90x = 3,019.07 × 1,303.53
  4. Step 4: Simplify right side
    2,187.90x = 3,935,441.80
  5. Step 5: Solve for x
    x = 3,935,441.80/2,187.90
  6. Step 6: Final answer
    x = 1,798.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.