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Finding the Fourth Proportional to 6,298.74, 8,691.64 and 3,647.00

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Solution

The fourth proportional to 6,298.74, 8,691.64 and 3,647.00 is: 5,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.74 : 8,691.64 = 3,647.00 : x
  2. Step 2: Convert to fraction form
    6,298.74/8,691.64 = 3,647.00/x
  3. Step 3: Cross multiply
    6,298.74x = 8,691.64 × 3,647.00
  4. Step 4: Simplify right side
    6,298.74x = 31,698,423.69
  5. Step 5: Solve for x
    x = 31,698,423.69/6,298.74
  6. Step 6: Final answer
    x = 5,032.50

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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.