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Finding the Fourth Proportional to 7,830.80, 10,816.86 and 5,837.90

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Solution

The fourth proportional to 7,830.80, 10,816.86 and 5,837.90 is: 8,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.80 : 10,816.86 = 5,837.90 : x
  2. Step 2: Convert to fraction form
    7,830.80/10,816.86 = 5,837.90/x
  3. Step 3: Cross multiply
    7,830.80x = 10,816.86 × 5,837.90
  4. Step 4: Simplify right side
    7,830.80x = 63,147,746.99
  5. Step 5: Solve for x
    x = 63,147,746.99/7,830.80
  6. Step 6: Final answer
    x = 8,064.02

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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.