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Finding the Fourth Proportional to 9,616.20, 14,410.80 and 7,645.20

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Solution

The fourth proportional to 9,616.20, 14,410.80 and 7,645.20 is: 11,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.20 : 14,410.80 = 7,645.20 : x
  2. Step 2: Convert to fraction form
    9,616.20/14,410.80 = 7,645.20/x
  3. Step 3: Cross multiply
    9,616.20x = 14,410.80 × 7,645.20
  4. Step 4: Simplify right side
    9,616.20x = 110,173,448.16
  5. Step 5: Solve for x
    x = 110,173,448.16/9,616.20
  6. Step 6: Final answer
    x = 11,457.07

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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.