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Finding the Fourth Proportional to 8,699.50, 13,051.50 and 2,856.16

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Solution

The fourth proportional to 8,699.50, 13,051.50 and 2,856.16 is: 4,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.50 : 13,051.50 = 2,856.16 : x
  2. Step 2: Convert to fraction form
    8,699.50/13,051.50 = 2,856.16/x
  3. Step 3: Cross multiply
    8,699.50x = 13,051.50 × 2,856.16
  4. Step 4: Simplify right side
    8,699.50x = 37,277,172.24
  5. Step 5: Solve for x
    x = 37,277,172.24/8,699.50
  6. Step 6: Final answer
    x = 4,284.98

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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.