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Finding the Fourth Proportional to 12,407.62, 17,122.44 and 6,742.34

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Solution

The fourth proportional to 12,407.62, 17,122.44 and 6,742.34 is: 9,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.62 : 17,122.44 = 6,742.34 : x
  2. Step 2: Convert to fraction form
    12,407.62/17,122.44 = 6,742.34/x
  3. Step 3: Cross multiply
    12,407.62x = 17,122.44 × 6,742.34
  4. Step 4: Simplify right side
    12,407.62x = 115,445,312.11
  5. Step 5: Solve for x
    x = 115,445,312.11/12,407.62
  6. Step 6: Final answer
    x = 9,304.39

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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.