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Finding the Fourth Proportional to 30,487.48, 45,741.60 and 16,448.84

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Solution

The fourth proportional to 30,487.48, 45,741.60 and 16,448.84 is: 24,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,487.48 : 45,741.60 = 16,448.84 : x
  2. Step 2: Convert to fraction form
    30,487.48/45,741.60 = 16,448.84/x
  3. Step 3: Cross multiply
    30,487.48x = 45,741.60 × 16,448.84
  4. Step 4: Simplify right side
    30,487.48x = 752,396,259.74
  5. Step 5: Solve for x
    x = 752,396,259.74/30,487.48
  6. Step 6: Final answer
    x = 24,678.86

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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.