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Finding the Fourth Proportional to 6,077.63, 8,390.78 and 3,985.40

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Solution

The fourth proportional to 6,077.63, 8,390.78 and 3,985.40 is: 5,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.63 : 8,390.78 = 3,985.40 : x
  2. Step 2: Convert to fraction form
    6,077.63/8,390.78 = 3,985.40/x
  3. Step 3: Cross multiply
    6,077.63x = 8,390.78 × 3,985.40
  4. Step 4: Simplify right side
    6,077.63x = 33,440,552.73
  5. Step 5: Solve for x
    x = 33,440,552.73/6,077.63
  6. Step 6: Final answer
    x = 5,502.24

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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.