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Finding the Fourth Proportional to 7,800.19, 10,767.19 and 5,295.26

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Solution

The fourth proportional to 7,800.19, 10,767.19 and 5,295.26 is: 7,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.19 : 10,767.19 = 5,295.26 : x
  2. Step 2: Convert to fraction form
    7,800.19/10,767.19 = 5,295.26/x
  3. Step 3: Cross multiply
    7,800.19x = 10,767.19 × 5,295.26
  4. Step 4: Simplify right side
    7,800.19x = 57,015,070.52
  5. Step 5: Solve for x
    x = 57,015,070.52/7,800.19
  6. Step 6: Final answer
    x = 7,309.45

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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.