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Finding the Fourth Proportional to 7,814, 10,783.32 and 5,826.26

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Solution

The fourth proportional to 7,814, 10,783.32 and 5,826.26 is: 8,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814 : 10,783.32 = 5,826.26 : x
  2. Step 2: Convert to fraction form
    7,814/10,783.32 = 5,826.26/x
  3. Step 3: Cross multiply
    7,814x = 10,783.32 × 5,826.26
  4. Step 4: Simplify right side
    7,814x = 62,826,425.98
  5. Step 5: Solve for x
    x = 62,826,425.98/7,814
  6. Step 6: Final answer
    x = 8,040.24

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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.