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Finding the Fourth Proportional to 5,368.47, 8,051.77 and 1,419.77

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Solution

The fourth proportional to 5,368.47, 8,051.77 and 1,419.77 is: 2,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.47 : 8,051.77 = 1,419.77 : x
  2. Step 2: Convert to fraction form
    5,368.47/8,051.77 = 1,419.77/x
  3. Step 3: Cross multiply
    5,368.47x = 8,051.77 × 1,419.77
  4. Step 4: Simplify right side
    5,368.47x = 11,431,614.14
  5. Step 5: Solve for x
    x = 11,431,614.14/5,368.47
  6. Step 6: Final answer
    x = 2,129.40

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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.