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Finding the Fourth Proportional to 7,643.97, 11,447.48 and 4,347.07

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Solution

The fourth proportional to 7,643.97, 11,447.48 and 4,347.07 is: 6,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.97 : 11,447.48 = 4,347.07 : x
  2. Step 2: Convert to fraction form
    7,643.97/11,447.48 = 4,347.07/x
  3. Step 3: Cross multiply
    7,643.97x = 11,447.48 × 4,347.07
  4. Step 4: Simplify right side
    7,643.97x = 49,762,979.13
  5. Step 5: Solve for x
    x = 49,762,979.13/7,643.97
  6. Step 6: Final answer
    x = 6,510.10

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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.