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Finding the Fourth Proportional to 7,557.50, 10,428.63 and 7,000.22

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Solution

The fourth proportional to 7,557.50, 10,428.63 and 7,000.22 is: 9,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.50 : 10,428.63 = 7,000.22 : x
  2. Step 2: Convert to fraction form
    7,557.50/10,428.63 = 7,000.22/x
  3. Step 3: Cross multiply
    7,557.50x = 10,428.63 × 7,000.22
  4. Step 4: Simplify right side
    7,557.50x = 73,002,704.30
  5. Step 5: Solve for x
    x = 73,002,704.30/7,557.50
  6. Step 6: Final answer
    x = 9,659.64

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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.