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Finding the Fourth Proportional to 7,864.77, 11,798.25 and 2,669.25

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Solution

The fourth proportional to 7,864.77, 11,798.25 and 2,669.25 is: 4,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.77 : 11,798.25 = 2,669.25 : x
  2. Step 2: Convert to fraction form
    7,864.77/11,798.25 = 2,669.25/x
  3. Step 3: Cross multiply
    7,864.77x = 11,798.25 × 2,669.25
  4. Step 4: Simplify right side
    7,864.77x = 31,492,478.81
  5. Step 5: Solve for x
    x = 31,492,478.81/7,864.77
  6. Step 6: Final answer
    x = 4,004.25

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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.