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Finding the Fourth Proportional to 15,175.64, 20,934.95 and 10,141.10

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Solution

The fourth proportional to 15,175.64, 20,934.95 and 10,141.10 is: 13,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.64 : 20,934.95 = 10,141.10 : x
  2. Step 2: Convert to fraction form
    15,175.64/20,934.95 = 10,141.10/x
  3. Step 3: Cross multiply
    15,175.64x = 20,934.95 × 10,141.10
  4. Step 4: Simplify right side
    15,175.64x = 212,303,421.45
  5. Step 5: Solve for x
    x = 212,303,421.45/15,175.64
  6. Step 6: Final answer
    x = 13,989.75

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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.