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Finding the Fourth Proportional to 30,493.60, 45,726.96 and 9,719.20

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Solution

The fourth proportional to 30,493.60, 45,726.96 and 9,719.20 is: 14,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.60 : 45,726.96 = 9,719.20 : x
  2. Step 2: Convert to fraction form
    30,493.60/45,726.96 = 9,719.20/x
  3. Step 3: Cross multiply
    30,493.60x = 45,726.96 × 9,719.20
  4. Step 4: Simplify right side
    30,493.60x = 444,429,469.63
  5. Step 5: Solve for x
    x = 444,429,469.63/30,493.60
  6. Step 6: Final answer
    x = 14,574.52

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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.