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Finding the Fourth Proportional to 13,878, 20,819.70 and 6,952.50

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Solution

The fourth proportional to 13,878, 20,819.70 and 6,952.50 is: 10,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 20,819.70 = 6,952.50 : x
  2. Step 2: Convert to fraction form
    13,878/20,819.70 = 6,952.50/x
  3. Step 3: Cross multiply
    13,878x = 20,819.70 × 6,952.50
  4. Step 4: Simplify right side
    13,878x = 144,748,964.25
  5. Step 5: Solve for x
    x = 144,748,964.25/13,878
  6. Step 6: Final answer
    x = 10,430.10

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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.