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Finding the Fourth Proportional to 30,246.57, 45,369.70 and 7,757.15

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Solution

The fourth proportional to 30,246.57, 45,369.70 and 7,757.15 is: 11,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,246.57 : 45,369.70 = 7,757.15 : x
  2. Step 2: Convert to fraction form
    30,246.57/45,369.70 = 7,757.15/x
  3. Step 3: Cross multiply
    30,246.57x = 45,369.70 × 7,757.15
  4. Step 4: Simplify right side
    30,246.57x = 351,939,341.51
  5. Step 5: Solve for x
    x = 351,939,341.51/30,246.57
  6. Step 6: Final answer
    x = 11,635.68

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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.