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Finding the Fourth Proportional to 13,101, 19,655.16 and 4,342.08

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Solution

The fourth proportional to 13,101, 19,655.16 and 4,342.08 is: 6,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101 : 19,655.16 = 4,342.08 : x
  2. Step 2: Convert to fraction form
    13,101/19,655.16 = 4,342.08/x
  3. Step 3: Cross multiply
    13,101x = 19,655.16 × 4,342.08
  4. Step 4: Simplify right side
    13,101x = 85,344,277.13
  5. Step 5: Solve for x
    x = 85,344,277.13/13,101
  6. Step 6: Final answer
    x = 6,514.33

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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.