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Finding the Fourth Proportional to 30,451.20, 45,655.20 and 13,819.20

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Solution

The fourth proportional to 30,451.20, 45,655.20 and 13,819.20 is: 20,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,451.20 : 45,655.20 = 13,819.20 : x
  2. Step 2: Convert to fraction form
    30,451.20/45,655.20 = 13,819.20/x
  3. Step 3: Cross multiply
    30,451.20x = 45,655.20 × 13,819.20
  4. Step 4: Simplify right side
    30,451.20x = 630,918,339.84
  5. Step 5: Solve for x
    x = 630,918,339.84/30,451.20
  6. Step 6: Final answer
    x = 20,719.00

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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.