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Finding the Fourth Proportional to 13,948, 19,249.14 and 7,981.60

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Solution

The fourth proportional to 13,948, 19,249.14 and 7,981.60 is: 11,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948 : 19,249.14 = 7,981.60 : x
  2. Step 2: Convert to fraction form
    13,948/19,249.14 = 7,981.60/x
  3. Step 3: Cross multiply
    13,948x = 19,249.14 × 7,981.60
  4. Step 4: Simplify right side
    13,948x = 153,638,935.82
  5. Step 5: Solve for x
    x = 153,638,935.82/13,948
  6. Step 6: Final answer
    x = 11,015.12

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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.