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Finding the Fourth Proportional to 7,643.63, 10,542.69 and 4,659.59

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Solution

The fourth proportional to 7,643.63, 10,542.69 and 4,659.59 is: 6,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.63 : 10,542.69 = 4,659.59 : x
  2. Step 2: Convert to fraction form
    7,643.63/10,542.69 = 4,659.59/x
  3. Step 3: Cross multiply
    7,643.63x = 10,542.69 × 4,659.59
  4. Step 4: Simplify right side
    7,643.63x = 49,124,639.25
  5. Step 5: Solve for x
    x = 49,124,639.25/7,643.63
  6. Step 6: Final answer
    x = 6,426.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.