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Finding the Fourth Proportional to 9,894.40, 14,836.80 and 5,507.20

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Solution

The fourth proportional to 9,894.40, 14,836.80 and 5,507.20 is: 8,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.40 : 14,836.80 = 5,507.20 : x
  2. Step 2: Convert to fraction form
    9,894.40/14,836.80 = 5,507.20/x
  3. Step 3: Cross multiply
    9,894.40x = 14,836.80 × 5,507.20
  4. Step 4: Simplify right side
    9,894.40x = 81,709,224.96
  5. Step 5: Solve for x
    x = 81,709,224.96/9,894.40
  6. Step 6: Final answer
    x = 8,258.13

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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.