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Finding the Fourth Proportional to 30,448.86, 45,639.93 and 15,658.56

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Solution

The fourth proportional to 30,448.86, 45,639.93 and 15,658.56 is: 23,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.86 : 45,639.93 = 15,658.56 : x
  2. Step 2: Convert to fraction form
    30,448.86/45,639.93 = 15,658.56/x
  3. Step 3: Cross multiply
    30,448.86x = 45,639.93 × 15,658.56
  4. Step 4: Simplify right side
    30,448.86x = 714,655,582.30
  5. Step 5: Solve for x
    x = 714,655,582.30/30,448.86
  6. Step 6: Final answer
    x = 23,470.68

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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.