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Finding the Fourth Proportional to 30,400.48, 45,602.40 and 8,214.40

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Solution

The fourth proportional to 30,400.48, 45,602.40 and 8,214.40 is: 12,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.48 : 45,602.40 = 8,214.40 : x
  2. Step 2: Convert to fraction form
    30,400.48/45,602.40 = 8,214.40/x
  3. Step 3: Cross multiply
    30,400.48x = 45,602.40 × 8,214.40
  4. Step 4: Simplify right side
    30,400.48x = 374,596,354.56
  5. Step 5: Solve for x
    x = 374,596,354.56/30,400.48
  6. Step 6: Final answer
    x = 12,322.05

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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.