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Finding the Fourth Proportional to 8,985.47, 13,480 and 2,746.37

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Solution

The fourth proportional to 8,985.47, 13,480 and 2,746.37 is: 4,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.47 : 13,480 = 2,746.37 : x
  2. Step 2: Convert to fraction form
    8,985.47/13,480 = 2,746.37/x
  3. Step 3: Cross multiply
    8,985.47x = 13,480 × 2,746.37
  4. Step 4: Simplify right side
    8,985.47x = 37,021,067.60
  5. Step 5: Solve for x
    x = 37,021,067.60/8,985.47
  6. Step 6: Final answer
    x = 4,120.10

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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.