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Finding the Fourth Proportional to 20,574, 28,392.32 and 11,142.77

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Solution

The fourth proportional to 20,574, 28,392.32 and 11,142.77 is: 15,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574 : 28,392.32 = 11,142.77 : x
  2. Step 2: Convert to fraction form
    20,574/28,392.32 = 11,142.77/x
  3. Step 3: Cross multiply
    20,574x = 28,392.32 × 11,142.77
  4. Step 4: Simplify right side
    20,574x = 316,368,977.42
  5. Step 5: Solve for x
    x = 316,368,977.42/20,574
  6. Step 6: Final answer
    x = 15,377.13

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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.