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Finding the Fourth Proportional to 9,380.64, 14,070 and 2,806.32

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Solution

The fourth proportional to 9,380.64, 14,070 and 2,806.32 is: 4,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.64 : 14,070 = 2,806.32 : x
  2. Step 2: Convert to fraction form
    9,380.64/14,070 = 2,806.32/x
  3. Step 3: Cross multiply
    9,380.64x = 14,070 × 2,806.32
  4. Step 4: Simplify right side
    9,380.64x = 39,484,922.40
  5. Step 5: Solve for x
    x = 39,484,922.40/9,380.64
  6. Step 6: Final answer
    x = 4,209.19

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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.