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Finding the Fourth Proportional to 14,280.92, 19,704.28 and 8,309

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Solution

The fourth proportional to 14,280.92, 19,704.28 and 8,309 is: 11,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280.92 : 19,704.28 = 8,309 : x
  2. Step 2: Convert to fraction form
    14,280.92/19,704.28 = 8,309/x
  3. Step 3: Cross multiply
    14,280.92x = 19,704.28 × 8,309
  4. Step 4: Simplify right side
    14,280.92x = 163,722,862.52
  5. Step 5: Solve for x
    x = 163,722,862.52/14,280.92
  6. Step 6: Final answer
    x = 11,464.45

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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.