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Finding the Fourth Proportional to 8,705, 13,051.56 and 2,860.76

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Solution

The fourth proportional to 8,705, 13,051.56 and 2,860.76 is: 4,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705 : 13,051.56 = 2,860.76 : x
  2. Step 2: Convert to fraction form
    8,705/13,051.56 = 2,860.76/x
  3. Step 3: Cross multiply
    8,705x = 13,051.56 × 2,860.76
  4. Step 4: Simplify right side
    8,705x = 37,337,380.79
  5. Step 5: Solve for x
    x = 37,337,380.79/8,705
  6. Step 6: Final answer
    x = 4,289.19

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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.