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Finding the Fourth Proportional to 7,789, 11,627.02 and 7,210.86

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Solution

The fourth proportional to 7,789, 11,627.02 and 7,210.86 is: 10,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789 : 11,627.02 = 7,210.86 : x
  2. Step 2: Convert to fraction form
    7,789/11,627.02 = 7,210.86/x
  3. Step 3: Cross multiply
    7,789x = 11,627.02 × 7,210.86
  4. Step 4: Simplify right side
    7,789x = 83,840,813.44
  5. Step 5: Solve for x
    x = 83,840,813.44/7,789
  6. Step 6: Final answer
    x = 10,764.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.