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Finding the Fourth Proportional to 15,713.60, 21,684.60 and 9,429.52

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Solution

The fourth proportional to 15,713.60, 21,684.60 and 9,429.52 is: 13,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.60 : 21,684.60 = 9,429.52 : x
  2. Step 2: Convert to fraction form
    15,713.60/21,684.60 = 9,429.52/x
  3. Step 3: Cross multiply
    15,713.60x = 21,684.60 × 9,429.52
  4. Step 4: Simplify right side
    15,713.60x = 204,475,369.39
  5. Step 5: Solve for x
    x = 204,475,369.39/15,713.60
  6. Step 6: Final answer
    x = 13,012.64

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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.