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Finding the Fourth Proportional to 13,746.80, 18,978.36 and 9,504.08

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Solution

The fourth proportional to 13,746.80, 18,978.36 and 9,504.08 is: 13,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.80 : 18,978.36 = 9,504.08 : x
  2. Step 2: Convert to fraction form
    13,746.80/18,978.36 = 9,504.08/x
  3. Step 3: Cross multiply
    13,746.80x = 18,978.36 × 9,504.08
  4. Step 4: Simplify right side
    13,746.80x = 180,371,851.71
  5. Step 5: Solve for x
    x = 180,371,851.71/13,746.80
  6. Step 6: Final answer
    x = 13,121.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.