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Finding the Fourth Proportional to 14,985.96, 20,664.42 and 10,209

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Solution

The fourth proportional to 14,985.96, 20,664.42 and 10,209 is: 14,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985.96 : 20,664.42 = 10,209 : x
  2. Step 2: Convert to fraction form
    14,985.96/20,664.42 = 10,209/x
  3. Step 3: Cross multiply
    14,985.96x = 20,664.42 × 10,209
  4. Step 4: Simplify right side
    14,985.96x = 210,963,063.78
  5. Step 5: Solve for x
    x = 210,963,063.78/14,985.96
  6. Step 6: Final answer
    x = 14,077.38

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1.5x scale

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.