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Finding the Fourth Proportional to 10,602.96, 15,907.62 and 6,390.78

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Solution

The fourth proportional to 10,602.96, 15,907.62 and 6,390.78 is: 9,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.96 : 15,907.62 = 6,390.78 : x
  2. Step 2: Convert to fraction form
    10,602.96/15,907.62 = 6,390.78/x
  3. Step 3: Cross multiply
    10,602.96x = 15,907.62 × 6,390.78
  4. Step 4: Simplify right side
    10,602.96x = 101,662,099.74
  5. Step 5: Solve for x
    x = 101,662,099.74/10,602.96
  6. Step 6: Final answer
    x = 9,588.09

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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.