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Finding the Fourth Proportional to 7,167.64, 9,887.78 and 6,222.17

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Solution

The fourth proportional to 7,167.64, 9,887.78 and 6,222.17 is: 8,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.64 : 9,887.78 = 6,222.17 : x
  2. Step 2: Convert to fraction form
    7,167.64/9,887.78 = 6,222.17/x
  3. Step 3: Cross multiply
    7,167.64x = 9,887.78 × 6,222.17
  4. Step 4: Simplify right side
    7,167.64x = 61,523,448.08
  5. Step 5: Solve for x
    x = 61,523,448.08/7,167.64
  6. Step 6: Final answer
    x = 8,583.50

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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.