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Finding the Fourth Proportional to 10,649.40, 14,692.78 and 7,855.80

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Solution

The fourth proportional to 10,649.40, 14,692.78 and 7,855.80 is: 10,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.40 : 14,692.78 = 7,855.80 : x
  2. Step 2: Convert to fraction form
    10,649.40/14,692.78 = 7,855.80/x
  3. Step 3: Cross multiply
    10,649.40x = 14,692.78 × 7,855.80
  4. Step 4: Simplify right side
    10,649.40x = 115,423,541.12
  5. Step 5: Solve for x
    x = 115,423,541.12/10,649.40
  6. Step 6: Final answer
    x = 10,838.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.