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Finding the Fourth Proportional to 13,953.84, 20,931.84 and 3,565.50

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Solution

The fourth proportional to 13,953.84, 20,931.84 and 3,565.50 is: 5,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.84 : 20,931.84 = 3,565.50 : x
  2. Step 2: Convert to fraction form
    13,953.84/20,931.84 = 3,565.50/x
  3. Step 3: Cross multiply
    13,953.84x = 20,931.84 × 3,565.50
  4. Step 4: Simplify right side
    13,953.84x = 74,632,475.52
  5. Step 5: Solve for x
    x = 74,632,475.52/13,953.84
  6. Step 6: Final answer
    x = 5,348.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.