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Finding the Fourth Proportional to 13,187.61, 19,763.60 and 4,859.80

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Solution

The fourth proportional to 13,187.61, 19,763.60 and 4,859.80 is: 7,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.61 : 19,763.60 = 4,859.80 : x
  2. Step 2: Convert to fraction form
    13,187.61/19,763.60 = 4,859.80/x
  3. Step 3: Cross multiply
    13,187.61x = 19,763.60 × 4,859.80
  4. Step 4: Simplify right side
    13,187.61x = 96,047,069.57
  5. Step 5: Solve for x
    x = 96,047,069.57/13,187.61
  6. Step 6: Final answer
    x = 7,283.13

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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.