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Finding the Fourth Proportional to 30,968.92, 46,486.14 and 19,290.16

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Solution

The fourth proportional to 30,968.92, 46,486.14 and 19,290.16 is: 28,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.92 : 46,486.14 = 19,290.16 : x
  2. Step 2: Convert to fraction form
    30,968.92/46,486.14 = 19,290.16/x
  3. Step 3: Cross multiply
    30,968.92x = 46,486.14 × 19,290.16
  4. Step 4: Simplify right side
    30,968.92x = 896,725,078.38
  5. Step 5: Solve for x
    x = 896,725,078.38/30,968.92
  6. Step 6: Final answer
    x = 28,955.65

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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.