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Finding the Fourth Proportional to 5,353.74, 8,031 and 1,458.18

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Solution

The fourth proportional to 5,353.74, 8,031 and 1,458.18 is: 2,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.74 : 8,031 = 1,458.18 : x
  2. Step 2: Convert to fraction form
    5,353.74/8,031 = 1,458.18/x
  3. Step 3: Cross multiply
    5,353.74x = 8,031 × 1,458.18
  4. Step 4: Simplify right side
    5,353.74x = 11,710,643.58
  5. Step 5: Solve for x
    x = 11,710,643.58/5,353.74
  6. Step 6: Final answer
    x = 2,187.38

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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.