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Finding the Fourth Proportional to 10,605.60, 15,902.64 and 5,415.84

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Solution

The fourth proportional to 10,605.60, 15,902.64 and 5,415.84 is: 8,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.60 : 15,902.64 = 5,415.84 : x
  2. Step 2: Convert to fraction form
    10,605.60/15,902.64 = 5,415.84/x
  3. Step 3: Cross multiply
    10,605.60x = 15,902.64 × 5,415.84
  4. Step 4: Simplify right side
    10,605.60x = 86,126,153.82
  5. Step 5: Solve for x
    x = 86,126,153.82/10,605.60
  6. Step 6: Final answer
    x = 8,120.82

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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.