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Finding the Fourth Proportional to 31,794.19, 47,692.19 and 8,420.63

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Solution

The fourth proportional to 31,794.19, 47,692.19 and 8,420.63 is: 12,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.19 : 47,692.19 = 8,420.63 : x
  2. Step 2: Convert to fraction form
    31,794.19/47,692.19 = 8,420.63/x
  3. Step 3: Cross multiply
    31,794.19x = 47,692.19 × 8,420.63
  4. Step 4: Simplify right side
    31,794.19x = 401,598,068.47
  5. Step 5: Solve for x
    x = 401,598,068.47/31,794.19
  6. Step 6: Final answer
    x = 12,631.18

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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.