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Finding the Fourth Proportional to 30,002.30, 45,006.01 and 7,815.68

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Solution

The fourth proportional to 30,002.30, 45,006.01 and 7,815.68 is: 11,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.30 : 45,006.01 = 7,815.68 : x
  2. Step 2: Convert to fraction form
    30,002.30/45,006.01 = 7,815.68/x
  3. Step 3: Cross multiply
    30,002.30x = 45,006.01 × 7,815.68
  4. Step 4: Simplify right side
    30,002.30x = 351,752,308.13
  5. Step 5: Solve for x
    x = 351,752,308.13/30,002.30
  6. Step 6: Final answer
    x = 11,724.18

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1.5x scale

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.