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Finding the Fourth Proportional to 9,411.13, 14,119.07 and 6,643.21

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Solution

The fourth proportional to 9,411.13, 14,119.07 and 6,643.21 is: 9,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.13 : 14,119.07 = 6,643.21 : x
  2. Step 2: Convert to fraction form
    9,411.13/14,119.07 = 6,643.21/x
  3. Step 3: Cross multiply
    9,411.13x = 14,119.07 × 6,643.21
  4. Step 4: Simplify right side
    9,411.13x = 93,795,947.01
  5. Step 5: Solve for x
    x = 93,795,947.01/9,411.13
  6. Step 6: Final answer
    x = 9,966.49

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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.