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Finding the Fourth Proportional to 31,106.70, 46,660.05 and 10,330.20

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Solution

The fourth proportional to 31,106.70, 46,660.05 and 10,330.20 is: 15,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.70 : 46,660.05 = 10,330.20 : x
  2. Step 2: Convert to fraction form
    31,106.70/46,660.05 = 10,330.20/x
  3. Step 3: Cross multiply
    31,106.70x = 46,660.05 × 10,330.20
  4. Step 4: Simplify right side
    31,106.70x = 482,007,648.51
  5. Step 5: Solve for x
    x = 482,007,648.51/31,106.70
  6. Step 6: Final answer
    x = 15,495.30

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Similar ratio
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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.