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Finding the Fourth Proportional to 9,956.40, 13,730.72 and 7,967.04

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Solution

The fourth proportional to 9,956.40, 13,730.72 and 7,967.04 is: 10,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.40 : 13,730.72 = 7,967.04 : x
  2. Step 2: Convert to fraction form
    9,956.40/13,730.72 = 7,967.04/x
  3. Step 3: Cross multiply
    9,956.40x = 13,730.72 × 7,967.04
  4. Step 4: Simplify right side
    9,956.40x = 109,393,195.47
  5. Step 5: Solve for x
    x = 109,393,195.47/9,956.40
  6. Step 6: Final answer
    x = 10,987.22

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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.