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Finding the Fourth Proportional to 9,344.42, 12,888 and 5,987.55

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Solution

The fourth proportional to 9,344.42, 12,888 and 5,987.55 is: 8,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.42 : 12,888 = 5,987.55 : x
  2. Step 2: Convert to fraction form
    9,344.42/12,888 = 5,987.55/x
  3. Step 3: Cross multiply
    9,344.42x = 12,888 × 5,987.55
  4. Step 4: Simplify right side
    9,344.42x = 77,167,544.40
  5. Step 5: Solve for x
    x = 77,167,544.40/9,344.42
  6. Step 6: Final answer
    x = 8,258.14

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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.