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Finding the Fourth Proportional to 13,355.84, 18,421.80 and 10,838

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Solution

The fourth proportional to 13,355.84, 18,421.80 and 10,838 is: 14,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,355.84 : 18,421.80 = 10,838 : x
  2. Step 2: Convert to fraction form
    13,355.84/18,421.80 = 10,838/x
  3. Step 3: Cross multiply
    13,355.84x = 18,421.80 × 10,838
  4. Step 4: Simplify right side
    13,355.84x = 199,655,468.40
  5. Step 5: Solve for x
    x = 199,655,468.40/13,355.84
  6. Step 6: Final answer
    x = 14,948.93

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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.