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Finding the Fourth Proportional to 12,580.77, 18,871.10 and 3,220.77

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Solution

The fourth proportional to 12,580.77, 18,871.10 and 3,220.77 is: 4,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.77 : 18,871.10 = 3,220.77 : x
  2. Step 2: Convert to fraction form
    12,580.77/18,871.10 = 3,220.77/x
  3. Step 3: Cross multiply
    12,580.77x = 18,871.10 × 3,220.77
  4. Step 4: Simplify right side
    12,580.77x = 60,779,456.64
  5. Step 5: Solve for x
    x = 60,779,456.64/12,580.77
  6. Step 6: Final answer
    x = 4,831.14

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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.