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Finding the Fourth Proportional to 13,565, 20,355.18 and 6,269

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Solution

The fourth proportional to 13,565, 20,355.18 and 6,269 is: 9,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565 : 20,355.18 = 6,269 : x
  2. Step 2: Convert to fraction form
    13,565/20,355.18 = 6,269/x
  3. Step 3: Cross multiply
    13,565x = 20,355.18 × 6,269
  4. Step 4: Simplify right side
    13,565x = 127,606,623.42
  5. Step 5: Solve for x
    x = 127,606,623.42/13,565
  6. Step 6: Final answer
    x = 9,407.05

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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.