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Finding the Fourth Proportional to 7,643.64, 11,457.14 and 3,204.16

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Solution

The fourth proportional to 7,643.64, 11,457.14 and 3,204.16 is: 4,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.64 : 11,457.14 = 3,204.16 : x
  2. Step 2: Convert to fraction form
    7,643.64/11,457.14 = 3,204.16/x
  3. Step 3: Cross multiply
    7,643.64x = 11,457.14 × 3,204.16
  4. Step 4: Simplify right side
    7,643.64x = 36,710,509.70
  5. Step 5: Solve for x
    x = 36,710,509.70/7,643.64
  6. Step 6: Final answer
    x = 4,802.75

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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.