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Finding the Fourth Proportional to 15,114.84, 20,859.30 and 9,814.20

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Solution

The fourth proportional to 15,114.84, 20,859.30 and 9,814.20 is: 13,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.84 : 20,859.30 = 9,814.20 : x
  2. Step 2: Convert to fraction form
    15,114.84/20,859.30 = 9,814.20/x
  3. Step 3: Cross multiply
    15,114.84x = 20,859.30 × 9,814.20
  4. Step 4: Simplify right side
    15,114.84x = 204,717,342.06
  5. Step 5: Solve for x
    x = 204,717,342.06/15,114.84
  6. Step 6: Final answer
    x = 13,544.13

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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.