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Finding the Fourth Proportional to 30,643.70, 45,965.55 and 9,867.20

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Solution

The fourth proportional to 30,643.70, 45,965.55 and 9,867.20 is: 14,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.70 : 45,965.55 = 9,867.20 : x
  2. Step 2: Convert to fraction form
    30,643.70/45,965.55 = 9,867.20/x
  3. Step 3: Cross multiply
    30,643.70x = 45,965.55 × 9,867.20
  4. Step 4: Simplify right side
    30,643.70x = 453,551,274.96
  5. Step 5: Solve for x
    x = 453,551,274.96/30,643.70
  6. Step 6: Final answer
    x = 14,800.80

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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.