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Finding the Fourth Proportional to 9,870.86, 14,807.07 and 3,297.07

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Solution

The fourth proportional to 9,870.86, 14,807.07 and 3,297.07 is: 4,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.86 : 14,807.07 = 3,297.07 : x
  2. Step 2: Convert to fraction form
    9,870.86/14,807.07 = 3,297.07/x
  3. Step 3: Cross multiply
    9,870.86x = 14,807.07 × 3,297.07
  4. Step 4: Simplify right side
    9,870.86x = 48,819,964.79
  5. Step 5: Solve for x
    x = 48,819,964.79/9,870.86
  6. Step 6: Final answer
    x = 4,945.87

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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.