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Finding the Fourth Proportional to 14,228.80, 21,328.80 and 8,382.40

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Solution

The fourth proportional to 14,228.80, 21,328.80 and 8,382.40 is: 12,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.80 : 21,328.80 = 8,382.40 : x
  2. Step 2: Convert to fraction form
    14,228.80/21,328.80 = 8,382.40/x
  3. Step 3: Cross multiply
    14,228.80x = 21,328.80 × 8,382.40
  4. Step 4: Simplify right side
    14,228.80x = 178,786,533.12
  5. Step 5: Solve for x
    x = 178,786,533.12/14,228.80
  6. Step 6: Final answer
    x = 12,565.12

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1.5x scale

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.