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Finding the Fourth Proportional to 19,918, 29,878.88 and 5,878.08

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Solution

The fourth proportional to 19,918, 29,878.88 and 5,878.08 is: 8,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,918 : 29,878.88 = 5,878.08 : x
  2. Step 2: Convert to fraction form
    19,918/29,878.88 = 5,878.08/x
  3. Step 3: Cross multiply
    19,918x = 29,878.88 × 5,878.08
  4. Step 4: Simplify right side
    19,918x = 175,630,446.95
  5. Step 5: Solve for x
    x = 175,630,446.95/19,918
  6. Step 6: Final answer
    x = 8,817.67

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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.