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Finding the Fourth Proportional to 7,897.28, 11,846.02 and 7,656.70

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Solution

The fourth proportional to 7,897.28, 11,846.02 and 7,656.70 is: 11,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.28 : 11,846.02 = 7,656.70 : x
  2. Step 2: Convert to fraction form
    7,897.28/11,846.02 = 7,656.70/x
  3. Step 3: Cross multiply
    7,897.28x = 11,846.02 × 7,656.70
  4. Step 4: Simplify right side
    7,897.28x = 90,701,421.33
  5. Step 5: Solve for x
    x = 90,701,421.33/7,897.28
  6. Step 6: Final answer
    x = 11,485.15

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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.