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Finding the Fourth Proportional to 10,652.06, 15,978.10 and 4,078.90

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Solution

The fourth proportional to 10,652.06, 15,978.10 and 4,078.90 is: 6,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.06 : 15,978.10 = 4,078.90 : x
  2. Step 2: Convert to fraction form
    10,652.06/15,978.10 = 4,078.90/x
  3. Step 3: Cross multiply
    10,652.06x = 15,978.10 × 4,078.90
  4. Step 4: Simplify right side
    10,652.06x = 65,173,072.09
  5. Step 5: Solve for x
    x = 65,173,072.09/10,652.06
  6. Step 6: Final answer
    x = 6,118.35

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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.