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Finding the Fourth Proportional to 13,905, 19,188.90 and 8,316

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Solution

The fourth proportional to 13,905, 19,188.90 and 8,316 is: 11,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905 : 19,188.90 = 8,316 : x
  2. Step 2: Convert to fraction form
    13,905/19,188.90 = 8,316/x
  3. Step 3: Cross multiply
    13,905x = 19,188.90 × 8,316
  4. Step 4: Simplify right side
    13,905x = 159,574,892.40
  5. Step 5: Solve for x
    x = 159,574,892.40/13,905
  6. Step 6: Final answer
    x = 11,476.08

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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.