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Finding the Fourth Proportional to 13,967.68, 20,948.28 and 5,206.72

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Solution

The fourth proportional to 13,967.68, 20,948.28 and 5,206.72 is: 7,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.68 : 20,948.28 = 5,206.72 : x
  2. Step 2: Convert to fraction form
    13,967.68/20,948.28 = 5,206.72/x
  3. Step 3: Cross multiply
    13,967.68x = 20,948.28 × 5,206.72
  4. Step 4: Simplify right side
    13,967.68x = 109,071,828.44
  5. Step 5: Solve for x
    x = 109,071,828.44/13,967.68
  6. Step 6: Final answer
    x = 7,808.87

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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.