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Finding the Fourth Proportional to 8,970.50, 13,457.91 and 2,814.50

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Solution

The fourth proportional to 8,970.50, 13,457.91 and 2,814.50 is: 4,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.50 : 13,457.91 = 2,814.50 : x
  2. Step 2: Convert to fraction form
    8,970.50/13,457.91 = 2,814.50/x
  3. Step 3: Cross multiply
    8,970.50x = 13,457.91 × 2,814.50
  4. Step 4: Simplify right side
    8,970.50x = 37,877,287.70
  5. Step 5: Solve for x
    x = 37,877,287.70/8,970.50
  6. Step 6: Final answer
    x = 4,222.43

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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.