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Finding the Fourth Proportional to 8,648.56, 12,971.40 and 2,804.32

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Solution

The fourth proportional to 8,648.56, 12,971.40 and 2,804.32 is: 4,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.56 : 12,971.40 = 2,804.32 : x
  2. Step 2: Convert to fraction form
    8,648.56/12,971.40 = 2,804.32/x
  3. Step 3: Cross multiply
    8,648.56x = 12,971.40 × 2,804.32
  4. Step 4: Simplify right side
    8,648.56x = 36,375,956.45
  5. Step 5: Solve for x
    x = 36,375,956.45/8,648.56
  6. Step 6: Final answer
    x = 4,206.01

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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.