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Finding the Fourth Proportional to 30,643.92, 45,966.24 and 9,867.60

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Solution

The fourth proportional to 30,643.92, 45,966.24 and 9,867.60 is: 14,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.92 : 45,966.24 = 9,867.60 : x
  2. Step 2: Convert to fraction form
    30,643.92/45,966.24 = 9,867.60/x
  3. Step 3: Cross multiply
    30,643.92x = 45,966.24 × 9,867.60
  4. Step 4: Simplify right side
    30,643.92x = 453,576,469.82
  5. Step 5: Solve for x
    x = 453,576,469.82/30,643.92
  6. Step 6: Final answer
    x = 14,801.52

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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.