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Finding the Fourth Proportional to 30,694.60, 46,026.78 and 9,915.40

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Solution

The fourth proportional to 30,694.60, 46,026.78 and 9,915.40 is: 14,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.60 : 46,026.78 = 9,915.40 : x
  2. Step 2: Convert to fraction form
    30,694.60/46,026.78 = 9,915.40/x
  3. Step 3: Cross multiply
    30,694.60x = 46,026.78 × 9,915.40
  4. Step 4: Simplify right side
    30,694.60x = 456,373,934.41
  5. Step 5: Solve for x
    x = 456,373,934.41/30,694.60
  6. Step 6: Final answer
    x = 14,868.22

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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.