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Finding the Fourth Proportional to 15,101.30, 20,828.25 and 10,259.78

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Solution

The fourth proportional to 15,101.30, 20,828.25 and 10,259.78 is: 14,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.30 : 20,828.25 = 10,259.78 : x
  2. Step 2: Convert to fraction form
    15,101.30/20,828.25 = 10,259.78/x
  3. Step 3: Cross multiply
    15,101.30x = 20,828.25 × 10,259.78
  4. Step 4: Simplify right side
    15,101.30x = 213,693,158.64
  5. Step 5: Solve for x
    x = 213,693,158.64/15,101.30
  6. Step 6: Final answer
    x = 14,150.64

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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.