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Finding the Fourth Proportional to 12,408, 17,124.14 and 6,820.08

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Solution

The fourth proportional to 12,408, 17,124.14 and 6,820.08 is: 9,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408 : 17,124.14 = 6,820.08 : x
  2. Step 2: Convert to fraction form
    12,408/17,124.14 = 6,820.08/x
  3. Step 3: Cross multiply
    12,408x = 17,124.14 × 6,820.08
  4. Step 4: Simplify right side
    12,408x = 116,787,970.63
  5. Step 5: Solve for x
    x = 116,787,970.63/12,408
  6. Step 6: Final answer
    x = 9,412.31

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1.5x scale

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.