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Finding the Fourth Proportional to 13,942, 19,239.43 and 7,973.52

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Solution

The fourth proportional to 13,942, 19,239.43 and 7,973.52 is: 11,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942 : 19,239.43 = 7,973.52 : x
  2. Step 2: Convert to fraction form
    13,942/19,239.43 = 7,973.52/x
  3. Step 3: Cross multiply
    13,942x = 19,239.43 × 7,973.52
  4. Step 4: Simplify right side
    13,942x = 153,405,979.89
  5. Step 5: Solve for x
    x = 153,405,979.89/13,942
  6. Step 6: Final answer
    x = 11,003.15

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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.