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Finding the Fourth Proportional to 13,888.32, 20,818.44 and 6,948.24

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Solution

The fourth proportional to 13,888.32, 20,818.44 and 6,948.24 is: 10,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.32 : 20,818.44 = 6,948.24 : x
  2. Step 2: Convert to fraction form
    13,888.32/20,818.44 = 6,948.24/x
  3. Step 3: Cross multiply
    13,888.32x = 20,818.44 × 6,948.24
  4. Step 4: Simplify right side
    13,888.32x = 144,651,517.55
  5. Step 5: Solve for x
    x = 144,651,517.55/13,888.32
  6. Step 6: Final answer
    x = 10,415.34

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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.