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Finding the Fourth Proportional to 15,009.84, 20,714.40 and 9,709.20

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Solution

The fourth proportional to 15,009.84, 20,714.40 and 9,709.20 is: 13,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009.84 : 20,714.40 = 9,709.20 : x
  2. Step 2: Convert to fraction form
    15,009.84/20,714.40 = 9,709.20/x
  3. Step 3: Cross multiply
    15,009.84x = 20,714.40 × 9,709.20
  4. Step 4: Simplify right side
    15,009.84x = 201,120,252.48
  5. Step 5: Solve for x
    x = 201,120,252.48/15,009.84
  6. Step 6: Final answer
    x = 13,399.23

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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.