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Finding the Fourth Proportional to 30,959.92, 42,746.88 and 19,039.24

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Solution

The fourth proportional to 30,959.92, 42,746.88 and 19,039.24 is: 26,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.92 : 42,746.88 = 19,039.24 : x
  2. Step 2: Convert to fraction form
    30,959.92/42,746.88 = 19,039.24/x
  3. Step 3: Cross multiply
    30,959.92x = 42,746.88 × 19,039.24
  4. Step 4: Simplify right side
    30,959.92x = 813,868,107.57
  5. Step 5: Solve for x
    x = 813,868,107.57/30,959.92
  6. Step 6: Final answer
    x = 26,287.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.