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Finding the Fourth Proportional to 21,165.53, 31,746.06 and 8,686.87

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Solution

The fourth proportional to 21,165.53, 31,746.06 and 8,686.87 is: 13,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.53 : 31,746.06 = 8,686.87 : x
  2. Step 2: Convert to fraction form
    21,165.53/31,746.06 = 8,686.87/x
  3. Step 3: Cross multiply
    21,165.53x = 31,746.06 × 8,686.87
  4. Step 4: Simplify right side
    21,165.53x = 275,773,816.87
  5. Step 5: Solve for x
    x = 275,773,816.87/21,165.53
  6. Step 6: Final answer
    x = 13,029.39

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1.5x scale

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.