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Finding the Fourth Proportional to 8,700.50, 13,053 and 2,857.16

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Solution

The fourth proportional to 8,700.50, 13,053 and 2,857.16 is: 4,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,700.50 : 13,053 = 2,857.16 : x
  2. Step 2: Convert to fraction form
    8,700.50/13,053 = 2,857.16/x
  3. Step 3: Cross multiply
    8,700.50x = 13,053 × 2,857.16
  4. Step 4: Simplify right side
    8,700.50x = 37,294,509.48
  5. Step 5: Solve for x
    x = 37,294,509.48/8,700.50
  6. Step 6: Final answer
    x = 4,286.48

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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.