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Finding the Fourth Proportional to 7,800.75, 10,765.08 and 5,006.25

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Solution

The fourth proportional to 7,800.75, 10,765.08 and 5,006.25 is: 6,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.75 : 10,765.08 = 5,006.25 : x
  2. Step 2: Convert to fraction form
    7,800.75/10,765.08 = 5,006.25/x
  3. Step 3: Cross multiply
    7,800.75x = 10,765.08 × 5,006.25
  4. Step 4: Simplify right side
    7,800.75x = 53,892,681.75
  5. Step 5: Solve for x
    x = 53,892,681.75/7,800.75
  6. Step 6: Final answer
    x = 6,908.65

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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.