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Finding the Fourth Proportional to 30,510.76, 45,749.94 and 15,713.68

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Solution

The fourth proportional to 30,510.76, 45,749.94 and 15,713.68 is: 23,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,510.76 : 45,749.94 = 15,713.68 : x
  2. Step 2: Convert to fraction form
    30,510.76/45,749.94 = 15,713.68/x
  3. Step 3: Cross multiply
    30,510.76x = 45,749.94 × 15,713.68
  4. Step 4: Simplify right side
    30,510.76x = 718,899,917.18
  5. Step 5: Solve for x
    x = 718,899,917.18/30,510.76
  6. Step 6: Final answer
    x = 23,562.18

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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.