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Finding the Fourth Proportional to 9,827.20, 14,715.20 and 9,366.40

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Solution

The fourth proportional to 9,827.20, 14,715.20 and 9,366.40 is: 14,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.20 : 14,715.20 = 9,366.40 : x
  2. Step 2: Convert to fraction form
    9,827.20/14,715.20 = 9,366.40/x
  3. Step 3: Cross multiply
    9,827.20x = 14,715.20 × 9,366.40
  4. Step 4: Simplify right side
    9,827.20x = 137,828,449.28
  5. Step 5: Solve for x
    x = 137,828,449.28/9,827.20
  6. Step 6: Final answer
    x = 14,025.20

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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.