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Finding the Fourth Proportional to 7,000.63, 10,501.14 and 1,806.50

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Solution

The fourth proportional to 7,000.63, 10,501.14 and 1,806.50 is: 2,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.63 : 10,501.14 = 1,806.50 : x
  2. Step 2: Convert to fraction form
    7,000.63/10,501.14 = 1,806.50/x
  3. Step 3: Cross multiply
    7,000.63x = 10,501.14 × 1,806.50
  4. Step 4: Simplify right side
    7,000.63x = 18,970,309.41
  5. Step 5: Solve for x
    x = 18,970,309.41/7,000.63
  6. Step 6: Final answer
    x = 2,709.80

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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.