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Finding the Fourth Proportional to 30,491.60, 45,723.96 and 9,717.20

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Solution

The fourth proportional to 30,491.60, 45,723.96 and 9,717.20 is: 14,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.60 : 45,723.96 = 9,717.20 : x
  2. Step 2: Convert to fraction form
    30,491.60/45,723.96 = 9,717.20/x
  3. Step 3: Cross multiply
    30,491.60x = 45,723.96 × 9,717.20
  4. Step 4: Simplify right side
    30,491.60x = 444,308,864.11
  5. Step 5: Solve for x
    x = 444,308,864.11/30,491.60
  6. Step 6: Final answer
    x = 14,571.52

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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.