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Finding the Fourth Proportional to 30,422.96, 45,635.16 and 9,646.64

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Solution

The fourth proportional to 30,422.96, 45,635.16 and 9,646.64 is: 14,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.96 : 45,635.16 = 9,646.64 : x
  2. Step 2: Convert to fraction form
    30,422.96/45,635.16 = 9,646.64/x
  3. Step 3: Cross multiply
    30,422.96x = 45,635.16 × 9,646.64
  4. Step 4: Simplify right side
    30,422.96x = 440,225,959.86
  5. Step 5: Solve for x
    x = 440,225,959.86/30,422.96
  6. Step 6: Final answer
    x = 14,470.19

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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.