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Finding the Fourth Proportional to 30,022.40, 41,477.12 and 28,582.40

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Solution

The fourth proportional to 30,022.40, 41,477.12 and 28,582.40 is: 39,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.40 : 41,477.12 = 28,582.40 : x
  2. Step 2: Convert to fraction form
    30,022.40/41,477.12 = 28,582.40/x
  3. Step 3: Cross multiply
    30,022.40x = 41,477.12 × 28,582.40
  4. Step 4: Simplify right side
    30,022.40x = 1,185,515,634.69
  5. Step 5: Solve for x
    x = 1,185,515,634.69/30,022.40
  6. Step 6: Final answer
    x = 39,487.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.