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Finding the Fourth Proportional to 13,970, 19,278.66 and 7,682.84

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Solution

The fourth proportional to 13,970, 19,278.66 and 7,682.84 is: 10,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 19,278.66 = 7,682.84 : x
  2. Step 2: Convert to fraction form
    13,970/19,278.66 = 7,682.84/x
  3. Step 3: Cross multiply
    13,970x = 19,278.66 × 7,682.84
  4. Step 4: Simplify right side
    13,970x = 148,114,860.19
  5. Step 5: Solve for x
    x = 148,114,860.19/13,970
  6. Step 6: Final answer
    x = 10,602.35

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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.