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Finding the Fourth Proportional to 6,580.21, 9,870.32 and 3,289.99

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Solution

The fourth proportional to 6,580.21, 9,870.32 and 3,289.99 is: 4,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.21 : 9,870.32 = 3,289.99 : x
  2. Step 2: Convert to fraction form
    6,580.21/9,870.32 = 3,289.99/x
  3. Step 3: Cross multiply
    6,580.21x = 9,870.32 × 3,289.99
  4. Step 4: Simplify right side
    6,580.21x = 32,473,254.10
  5. Step 5: Solve for x
    x = 32,473,254.10/6,580.21
  6. Step 6: Final answer
    x = 4,934.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.