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Finding the Fourth Proportional to 13,985.71, 20,978.57 and 5,101.71

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Solution

The fourth proportional to 13,985.71, 20,978.57 and 5,101.71 is: 7,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.71 : 20,978.57 = 5,101.71 : x
  2. Step 2: Convert to fraction form
    13,985.71/20,978.57 = 5,101.71/x
  3. Step 3: Cross multiply
    13,985.71x = 20,978.57 × 5,101.71
  4. Step 4: Simplify right side
    13,985.71x = 107,026,580.35
  5. Step 5: Solve for x
    x = 107,026,580.35/13,985.71
  6. Step 6: Final answer
    x = 7,652.57

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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.