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Finding the Fourth Proportional to 15,711.60, 21,698.64 and 10,698.24

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Solution

The fourth proportional to 15,711.60, 21,698.64 and 10,698.24 is: 14,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.60 : 21,698.64 = 10,698.24 : x
  2. Step 2: Convert to fraction form
    15,711.60/21,698.64 = 10,698.24/x
  3. Step 3: Cross multiply
    15,711.60x = 21,698.64 × 10,698.24
  4. Step 4: Simplify right side
    15,711.60x = 232,137,258.39
  5. Step 5: Solve for x
    x = 232,137,258.39/15,711.60
  6. Step 6: Final answer
    x = 14,774.90

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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.