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Finding the Fourth Proportional to 11,987.42, 17,964.71 and 7,607.95

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Solution

The fourth proportional to 11,987.42, 17,964.71 and 7,607.95 is: 11,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.42 : 17,964.71 = 7,607.95 : x
  2. Step 2: Convert to fraction form
    11,987.42/17,964.71 = 7,607.95/x
  3. Step 3: Cross multiply
    11,987.42x = 17,964.71 × 7,607.95
  4. Step 4: Simplify right side
    11,987.42x = 136,674,615.44
  5. Step 5: Solve for x
    x = 136,674,615.44/11,987.42
  6. Step 6: Final answer
    x = 11,401.50

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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.