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Finding the Fourth Proportional to 31,477.20, 47,230.20 and 14,830.80

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Solution

The fourth proportional to 31,477.20, 47,230.20 and 14,830.80 is: 22,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.20 : 47,230.20 = 14,830.80 : x
  2. Step 2: Convert to fraction form
    31,477.20/47,230.20 = 14,830.80/x
  3. Step 3: Cross multiply
    31,477.20x = 47,230.20 × 14,830.80
  4. Step 4: Simplify right side
    31,477.20x = 700,461,650.16
  5. Step 5: Solve for x
    x = 700,461,650.16/31,477.20
  6. Step 6: Final answer
    x = 22,252.98

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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.