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Finding the Fourth Proportional to 13,165.70, 19,726.68 and 9,261.91

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Solution

The fourth proportional to 13,165.70, 19,726.68 and 9,261.91 is: 13,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.70 : 19,726.68 = 9,261.91 : x
  2. Step 2: Convert to fraction form
    13,165.70/19,726.68 = 9,261.91/x
  3. Step 3: Cross multiply
    13,165.70x = 19,726.68 × 9,261.91
  4. Step 4: Simplify right side
    13,165.70x = 182,706,636.13
  5. Step 5: Solve for x
    x = 182,706,636.13/13,165.70
  6. Step 6: Final answer
    x = 13,877.47

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1.5x scale

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.