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Finding the Fourth Proportional to 6,309.78, 9,416.06 and 5,541.90

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Solution

The fourth proportional to 6,309.78, 9,416.06 and 5,541.90 is: 8,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.78 : 9,416.06 = 5,541.90 : x
  2. Step 2: Convert to fraction form
    6,309.78/9,416.06 = 5,541.90/x
  3. Step 3: Cross multiply
    6,309.78x = 9,416.06 × 5,541.90
  4. Step 4: Simplify right side
    6,309.78x = 52,182,835.20
  5. Step 5: Solve for x
    x = 52,182,835.20/6,309.78
  6. Step 6: Final answer
    x = 8,270.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.