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Finding the Fourth Proportional to 8,971.70, 13,459.70 and 2,815.70

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Solution

The fourth proportional to 8,971.70, 13,459.70 and 2,815.70 is: 4,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.70 : 13,459.70 = 2,815.70 : x
  2. Step 2: Convert to fraction form
    8,971.70/13,459.70 = 2,815.70/x
  3. Step 3: Cross multiply
    8,971.70x = 13,459.70 × 2,815.70
  4. Step 4: Simplify right side
    8,971.70x = 37,898,395.91
  5. Step 5: Solve for x
    x = 37,898,395.91/8,971.70
  6. Step 6: Final answer
    x = 4,224.22

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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.