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Finding the Fourth Proportional to 7,643.74, 11,465.63 and 2,097.16

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Solution

The fourth proportional to 7,643.74, 11,465.63 and 2,097.16 is: 3,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.74 : 11,465.63 = 2,097.16 : x
  2. Step 2: Convert to fraction form
    7,643.74/11,465.63 = 2,097.16/x
  3. Step 3: Cross multiply
    7,643.74x = 11,465.63 × 2,097.16
  4. Step 4: Simplify right side
    7,643.74x = 24,045,260.61
  5. Step 5: Solve for x
    x = 24,045,260.61/7,643.74
  6. Step 6: Final answer
    x = 3,145.75

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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.