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Finding the Fourth Proportional to 30,449.71, 45,697.65 and 12,931.84

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Solution

The fourth proportional to 30,449.71, 45,697.65 and 12,931.84 is: 19,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449.71 : 45,697.65 = 12,931.84 : x
  2. Step 2: Convert to fraction form
    30,449.71/45,697.65 = 12,931.84/x
  3. Step 3: Cross multiply
    30,449.71x = 45,697.65 × 12,931.84
  4. Step 4: Simplify right side
    30,449.71x = 590,954,698.18
  5. Step 5: Solve for x
    x = 590,954,698.18/30,449.71
  6. Step 6: Final answer
    x = 19,407.56

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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.