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Finding the Fourth Proportional to 12,830.70, 19,246.05 and 10,206.30

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Solution

The fourth proportional to 12,830.70, 19,246.05 and 10,206.30 is: 15,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.70 : 19,246.05 = 10,206.30 : x
  2. Step 2: Convert to fraction form
    12,830.70/19,246.05 = 10,206.30/x
  3. Step 3: Cross multiply
    12,830.70x = 19,246.05 × 10,206.30
  4. Step 4: Simplify right side
    12,830.70x = 196,430,960.12
  5. Step 5: Solve for x
    x = 196,430,960.12/12,830.70
  6. Step 6: Final answer
    x = 15,309.45

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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.