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Finding the Fourth Proportional to 10,461.66, 15,692.49 and 3,889.50

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Solution

The fourth proportional to 10,461.66, 15,692.49 and 3,889.50 is: 5,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.66 : 15,692.49 = 3,889.50 : x
  2. Step 2: Convert to fraction form
    10,461.66/15,692.49 = 3,889.50/x
  3. Step 3: Cross multiply
    10,461.66x = 15,692.49 × 3,889.50
  4. Step 4: Simplify right side
    10,461.66x = 61,035,939.86
  5. Step 5: Solve for x
    x = 61,035,939.86/10,461.66
  6. Step 6: Final answer
    x = 5,834.25

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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.