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Finding the Fourth Proportional to 13,972, 19,281.42 and 7,684.24

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Solution

The fourth proportional to 13,972, 19,281.42 and 7,684.24 is: 10,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972 : 19,281.42 = 7,684.24 : x
  2. Step 2: Convert to fraction form
    13,972/19,281.42 = 7,684.24/x
  3. Step 3: Cross multiply
    13,972x = 19,281.42 × 7,684.24
  4. Step 4: Simplify right side
    13,972x = 148,163,058.82
  5. Step 5: Solve for x
    x = 148,163,058.82/13,972
  6. Step 6: Final answer
    x = 10,604.28

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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.