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Finding the Fourth Proportional to 9,967.53, 13,749.71 and 6,987.81

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Solution

The fourth proportional to 9,967.53, 13,749.71 and 6,987.81 is: 9,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.53 : 13,749.71 = 6,987.81 : x
  2. Step 2: Convert to fraction form
    9,967.53/13,749.71 = 6,987.81/x
  3. Step 3: Cross multiply
    9,967.53x = 13,749.71 × 6,987.81
  4. Step 4: Simplify right side
    9,967.53x = 96,080,326.10
  5. Step 5: Solve for x
    x = 96,080,326.10/9,967.53
  6. Step 6: Final answer
    x = 9,639.33

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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.