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Finding the Fourth Proportional to 30,894.40, 46,338.90 and 10,117.90

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Solution

The fourth proportional to 30,894.40, 46,338.90 and 10,117.90 is: 15,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.40 : 46,338.90 = 10,117.90 : x
  2. Step 2: Convert to fraction form
    30,894.40/46,338.90 = 10,117.90/x
  3. Step 3: Cross multiply
    30,894.40x = 46,338.90 × 10,117.90
  4. Step 4: Simplify right side
    30,894.40x = 468,852,356.31
  5. Step 5: Solve for x
    x = 468,852,356.31/30,894.40
  6. Step 6: Final answer
    x = 15,175.97

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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.