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Finding the Fourth Proportional to 13,309.77, 19,978.50 and 9,803.74

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Solution

The fourth proportional to 13,309.77, 19,978.50 and 9,803.74 is: 14,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.77 : 19,978.50 = 9,803.74 : x
  2. Step 2: Convert to fraction form
    13,309.77/19,978.50 = 9,803.74/x
  3. Step 3: Cross multiply
    13,309.77x = 19,978.50 × 9,803.74
  4. Step 4: Simplify right side
    13,309.77x = 195,863,870.68
  5. Step 5: Solve for x
    x = 195,863,870.68/13,309.77
  6. Step 6: Final answer
    x = 14,715.80

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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.