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Finding the Fourth Proportional to 7,867.16, 11,803.93 and 7,742.79

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Solution

The fourth proportional to 7,867.16, 11,803.93 and 7,742.79 is: 11,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.16 : 11,803.93 = 7,742.79 : x
  2. Step 2: Convert to fraction form
    7,867.16/11,803.93 = 7,742.79/x
  3. Step 3: Cross multiply
    7,867.16x = 11,803.93 × 7,742.79
  4. Step 4: Simplify right side
    7,867.16x = 91,395,331.81
  5. Step 5: Solve for x
    x = 91,395,331.81/7,867.16
  6. Step 6: Final answer
    x = 11,617.32

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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.