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Finding the Fourth Proportional to 7,643.64, 11,465.33 and 7,455.18

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Solution

The fourth proportional to 7,643.64, 11,465.33 and 7,455.18 is: 11,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.64 : 11,465.33 = 7,455.18 : x
  2. Step 2: Convert to fraction form
    7,643.64/11,465.33 = 7,455.18/x
  3. Step 3: Cross multiply
    7,643.64x = 11,465.33 × 7,455.18
  4. Step 4: Simplify right side
    7,643.64x = 85,476,061.63
  5. Step 5: Solve for x
    x = 85,476,061.63/7,643.64
  6. Step 6: Final answer
    x = 11,182.64

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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.