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Finding the Fourth Proportional to 10,407.78, 14,363.04 and 5,692.38

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Solution

The fourth proportional to 10,407.78, 14,363.04 and 5,692.38 is: 7,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.78 : 14,363.04 = 5,692.38 : x
  2. Step 2: Convert to fraction form
    10,407.78/14,363.04 = 5,692.38/x
  3. Step 3: Cross multiply
    10,407.78x = 14,363.04 × 5,692.38
  4. Step 4: Simplify right side
    10,407.78x = 81,759,881.64
  5. Step 5: Solve for x
    x = 81,759,881.64/10,407.78
  6. Step 6: Final answer
    x = 7,855.65

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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.