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Finding the Fourth Proportional to 10,874.63, 14,985.98 and 7,725.35

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Solution

The fourth proportional to 10,874.63, 14,985.98 and 7,725.35 is: 10,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.63 : 14,985.98 = 7,725.35 : x
  2. Step 2: Convert to fraction form
    10,874.63/14,985.98 = 7,725.35/x
  3. Step 3: Cross multiply
    10,874.63x = 14,985.98 × 7,725.35
  4. Step 4: Simplify right side
    10,874.63x = 115,771,939.43
  5. Step 5: Solve for x
    x = 115,771,939.43/10,874.63
  6. Step 6: Final answer
    x = 10,646.06

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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.