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Finding the Fourth Proportional to 13,205.65, 19,807.49 and 4,881.77

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Solution

The fourth proportional to 13,205.65, 19,807.49 and 4,881.77 is: 7,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.65 : 19,807.49 = 4,881.77 : x
  2. Step 2: Convert to fraction form
    13,205.65/19,807.49 = 4,881.77/x
  3. Step 3: Cross multiply
    13,205.65x = 19,807.49 × 4,881.77
  4. Step 4: Simplify right side
    13,205.65x = 96,695,672.18
  5. Step 5: Solve for x
    x = 96,695,672.18/13,205.65
  6. Step 6: Final answer
    x = 7,322.30

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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.