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Finding the Fourth Proportional to 6,105, 8,429.76 and 4,776.48

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Solution

The fourth proportional to 6,105, 8,429.76 and 4,776.48 is: 6,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105 : 8,429.76 = 4,776.48 : x
  2. Step 2: Convert to fraction form
    6,105/8,429.76 = 4,776.48/x
  3. Step 3: Cross multiply
    6,105x = 8,429.76 × 4,776.48
  4. Step 4: Simplify right side
    6,105x = 40,264,580.04
  5. Step 5: Solve for x
    x = 40,264,580.04/6,105
  6. Step 6: Final answer
    x = 6,595.34

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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.