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Finding the Fourth Proportional to 30,772.52, 46,158.78 and 9,714.20

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Solution

The fourth proportional to 30,772.52, 46,158.78 and 9,714.20 is: 14,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.52 : 46,158.78 = 9,714.20 : x
  2. Step 2: Convert to fraction form
    30,772.52/46,158.78 = 9,714.20/x
  3. Step 3: Cross multiply
    30,772.52x = 46,158.78 × 9,714.20
  4. Step 4: Simplify right side
    30,772.52x = 448,395,389.88
  5. Step 5: Solve for x
    x = 448,395,389.88/30,772.52
  6. Step 6: Final answer
    x = 14,571.29

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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.