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Finding the Fourth Proportional to 19,281, 28,925.58 and 10,965

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Solution

The fourth proportional to 19,281, 28,925.58 and 10,965 is: 16,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,281 : 28,925.58 = 10,965 : x
  2. Step 2: Convert to fraction form
    19,281/28,925.58 = 10,965/x
  3. Step 3: Cross multiply
    19,281x = 28,925.58 × 10,965
  4. Step 4: Simplify right side
    19,281x = 317,168,984.70
  5. Step 5: Solve for x
    x = 317,168,984.70/19,281
  6. Step 6: Final answer
    x = 16,449.82

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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.