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Finding the Fourth Proportional to 14,357.28, 19,812.88 and 8,069.52

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Solution

The fourth proportional to 14,357.28, 19,812.88 and 8,069.52 is: 11,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.28 : 19,812.88 = 8,069.52 : x
  2. Step 2: Convert to fraction form
    14,357.28/19,812.88 = 8,069.52/x
  3. Step 3: Cross multiply
    14,357.28x = 19,812.88 × 8,069.52
  4. Step 4: Simplify right side
    14,357.28x = 159,880,431.42
  5. Step 5: Solve for x
    x = 159,880,431.42/14,357.28
  6. Step 6: Final answer
    x = 11,135.84

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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.