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Finding the Fourth Proportional to 6,859.80, 10,289.70 and 2,477.25

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Solution

The fourth proportional to 6,859.80, 10,289.70 and 2,477.25 is: 3,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.80 : 10,289.70 = 2,477.25 : x
  2. Step 2: Convert to fraction form
    6,859.80/10,289.70 = 2,477.25/x
  3. Step 3: Cross multiply
    6,859.80x = 10,289.70 × 2,477.25
  4. Step 4: Simplify right side
    6,859.80x = 25,490,159.33
  5. Step 5: Solve for x
    x = 25,490,159.33/6,859.80
  6. Step 6: Final answer
    x = 3,715.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.