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Finding the Fourth Proportional to 6,920.70, 10,384.70 and 4,152.93

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Solution

The fourth proportional to 6,920.70, 10,384.70 and 4,152.93 is: 6,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.70 : 10,384.70 = 4,152.93 : x
  2. Step 2: Convert to fraction form
    6,920.70/10,384.70 = 4,152.93/x
  3. Step 3: Cross multiply
    6,920.70x = 10,384.70 × 4,152.93
  4. Step 4: Simplify right side
    6,920.70x = 43,126,932.17
  5. Step 5: Solve for x
    x = 43,126,932.17/6,920.70
  6. Step 6: Final answer
    x = 6,231.59

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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.