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Finding the Fourth Proportional to 15,178.58, 20,946.34 and 8,464.28

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Solution

The fourth proportional to 15,178.58, 20,946.34 and 8,464.28 is: 11,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.58 : 20,946.34 = 8,464.28 : x
  2. Step 2: Convert to fraction form
    15,178.58/20,946.34 = 8,464.28/x
  3. Step 3: Cross multiply
    15,178.58x = 20,946.34 × 8,464.28
  4. Step 4: Simplify right side
    15,178.58x = 177,295,686.74
  5. Step 5: Solve for x
    x = 177,295,686.74/15,178.58
  6. Step 6: Final answer
    x = 11,680.65

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1.5x scale

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.