Home / 13,972-19,281.36-7,684.40

Finding the Fourth Proportional to 13,972, 19,281.36 and 7,684.40

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Solution

The fourth proportional to 13,972, 19,281.36 and 7,684.40 is: 10,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972 : 19,281.36 = 7,684.40 : x
  2. Step 2: Convert to fraction form
    13,972/19,281.36 = 7,684.40/x
  3. Step 3: Cross multiply
    13,972x = 19,281.36 × 7,684.40
  4. Step 4: Simplify right side
    13,972x = 148,165,682.78
  5. Step 5: Solve for x
    x = 148,165,682.78/13,972
  6. Step 6: Final answer
    x = 10,604.47

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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.