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Finding the Fourth Proportional to 30,680, 46,030.80 and 15,108.56

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Solution

The fourth proportional to 30,680, 46,030.80 and 15,108.56 is: 22,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680 : 46,030.80 = 15,108.56 : x
  2. Step 2: Convert to fraction form
    30,680/46,030.80 = 15,108.56/x
  3. Step 3: Cross multiply
    30,680x = 46,030.80 × 15,108.56
  4. Step 4: Simplify right side
    30,680x = 695,459,103.65
  5. Step 5: Solve for x
    x = 695,459,103.65/30,680
  6. Step 6: Final answer
    x = 22,668.16

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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.