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Finding the Fourth Proportional to 12,964.15, 17,907.06 and 9,920.76

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Solution

The fourth proportional to 12,964.15, 17,907.06 and 9,920.76 is: 13,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.15 : 17,907.06 = 9,920.76 : x
  2. Step 2: Convert to fraction form
    12,964.15/17,907.06 = 9,920.76/x
  3. Step 3: Cross multiply
    12,964.15x = 17,907.06 × 9,920.76
  4. Step 4: Simplify right side
    12,964.15x = 177,651,644.57
  5. Step 5: Solve for x
    x = 177,651,644.57/12,964.15
  6. Step 6: Final answer
    x = 13,703.30

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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.