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Finding the Fourth Proportional to 10,428.60, 14,390.82 and 5,712.60

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Solution

The fourth proportional to 10,428.60, 14,390.82 and 5,712.60 is: 7,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.60 : 14,390.82 = 5,712.60 : x
  2. Step 2: Convert to fraction form
    10,428.60/14,390.82 = 5,712.60/x
  3. Step 3: Cross multiply
    10,428.60x = 14,390.82 × 5,712.60
  4. Step 4: Simplify right side
    10,428.60x = 82,208,998.33
  5. Step 5: Solve for x
    x = 82,208,998.33/10,428.60
  6. Step 6: Final answer
    x = 7,883.03

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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.