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Finding the Fourth Proportional to 13,940.59, 19,238.08 and 7,972.51

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Solution

The fourth proportional to 13,940.59, 19,238.08 and 7,972.51 is: 11,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.59 : 19,238.08 = 7,972.51 : x
  2. Step 2: Convert to fraction form
    13,940.59/19,238.08 = 7,972.51/x
  3. Step 3: Cross multiply
    13,940.59x = 19,238.08 × 7,972.51
  4. Step 4: Simplify right side
    13,940.59x = 153,375,688.99
  5. Step 5: Solve for x
    x = 153,375,688.99/13,940.59
  6. Step 6: Final answer
    x = 11,002.10

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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.