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Finding the Fourth Proportional to 3,407.47, 5,109.08 and 1,458

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Solution

The fourth proportional to 3,407.47, 5,109.08 and 1,458 is: 2,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.47 : 5,109.08 = 1,458 : x
  2. Step 2: Convert to fraction form
    3,407.47/5,109.08 = 1,458/x
  3. Step 3: Cross multiply
    3,407.47x = 5,109.08 × 1,458
  4. Step 4: Simplify right side
    3,407.47x = 7,449,031.35
  5. Step 5: Solve for x
    x = 7,449,031.35/3,407.47
  6. Step 6: Final answer
    x = 2,186.09

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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.