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Finding the Fourth Proportional to 30,943.47, 46,418.58 and 9,878.61

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Solution

The fourth proportional to 30,943.47, 46,418.58 and 9,878.61 is: 14,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.47 : 46,418.58 = 9,878.61 : x
  2. Step 2: Convert to fraction form
    30,943.47/46,418.58 = 9,878.61/x
  3. Step 3: Cross multiply
    30,943.47x = 46,418.58 × 9,878.61
  4. Step 4: Simplify right side
    30,943.47x = 458,551,048.57
  5. Step 5: Solve for x
    x = 458,551,048.57/30,943.47
  6. Step 6: Final answer
    x = 14,818.99

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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.