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Finding the Fourth Proportional to 12,964.80, 19,402.40 and 7,774.40

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Solution

The fourth proportional to 12,964.80, 19,402.40 and 7,774.40 is: 11,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.80 : 19,402.40 = 7,774.40 : x
  2. Step 2: Convert to fraction form
    12,964.80/19,402.40 = 7,774.40/x
  3. Step 3: Cross multiply
    12,964.80x = 19,402.40 × 7,774.40
  4. Step 4: Simplify right side
    12,964.80x = 150,842,018.56
  5. Step 5: Solve for x
    x = 150,842,018.56/12,964.80
  6. Step 6: Final answer
    x = 11,634.74

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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.