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Finding the Fourth Proportional to 1,468.13, 2,019.53 and 1,408.19

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Solution

The fourth proportional to 1,468.13, 2,019.53 and 1,408.19 is: 1,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.13 : 2,019.53 = 1,408.19 : x
  2. Step 2: Convert to fraction form
    1,468.13/2,019.53 = 1,408.19/x
  3. Step 3: Cross multiply
    1,468.13x = 2,019.53 × 1,408.19
  4. Step 4: Simplify right side
    1,468.13x = 2,843,875.37
  5. Step 5: Solve for x
    x = 2,843,875.37/1,468.13
  6. Step 6: Final answer
    x = 1,937.08

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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.