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Finding the Fourth Proportional to 15,405.61, 21,259.87 and 8,507

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Solution

The fourth proportional to 15,405.61, 21,259.87 and 8,507 is: 11,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.61 : 21,259.87 = 8,507 : x
  2. Step 2: Convert to fraction form
    15,405.61/21,259.87 = 8,507/x
  3. Step 3: Cross multiply
    15,405.61x = 21,259.87 × 8,507
  4. Step 4: Simplify right side
    15,405.61x = 180,857,714.09
  5. Step 5: Solve for x
    x = 180,857,714.09/15,405.61
  6. Step 6: Final answer
    x = 11,739.73

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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.