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Finding the Fourth Proportional to 6,292.90, 8,684.75 and 3,460.77

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Solution

The fourth proportional to 6,292.90, 8,684.75 and 3,460.77 is: 4,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.90 : 8,684.75 = 3,460.77 : x
  2. Step 2: Convert to fraction form
    6,292.90/8,684.75 = 3,460.77/x
  3. Step 3: Cross multiply
    6,292.90x = 8,684.75 × 3,460.77
  4. Step 4: Simplify right side
    6,292.90x = 30,055,917.50
  5. Step 5: Solve for x
    x = 30,055,917.50/6,292.90
  6. Step 6: Final answer
    x = 4,776.17

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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.