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Finding the Fourth Proportional to 30,649.86, 45,956.25 and 19,984.13

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Solution

The fourth proportional to 30,649.86, 45,956.25 and 19,984.13 is: 29,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.86 : 45,956.25 = 19,984.13 : x
  2. Step 2: Convert to fraction form
    30,649.86/45,956.25 = 19,984.13/x
  3. Step 3: Cross multiply
    30,649.86x = 45,956.25 × 19,984.13
  4. Step 4: Simplify right side
    30,649.86x = 918,395,444.53
  5. Step 5: Solve for x
    x = 918,395,444.53/30,649.86
  6. Step 6: Final answer
    x = 29,964.10

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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.