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Finding the Fourth Proportional to 14,799.60, 20,429.20 and 10,017.20

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Solution

The fourth proportional to 14,799.60, 20,429.20 and 10,017.20 is: 13,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,799.60 : 20,429.20 = 10,017.20 : x
  2. Step 2: Convert to fraction form
    14,799.60/20,429.20 = 10,017.20/x
  3. Step 3: Cross multiply
    14,799.60x = 20,429.20 × 10,017.20
  4. Step 4: Simplify right side
    14,799.60x = 204,643,382.24
  5. Step 5: Solve for x
    x = 204,643,382.24/14,799.60
  6. Step 6: Final answer
    x = 13,827.63

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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.