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Finding the Fourth Proportional to 15,978.35, 22,035.80 and 10,010.67

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Solution

The fourth proportional to 15,978.35, 22,035.80 and 10,010.67 is: 13,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.35 : 22,035.80 = 10,010.67 : x
  2. Step 2: Convert to fraction form
    15,978.35/22,035.80 = 10,010.67/x
  3. Step 3: Cross multiply
    15,978.35x = 22,035.80 × 10,010.67
  4. Step 4: Simplify right side
    15,978.35x = 220,593,071.93
  5. Step 5: Solve for x
    x = 220,593,071.93/15,978.35
  6. Step 6: Final answer
    x = 13,805.75

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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.