Home / 13,982-19,295.70-7,694.24

Finding the Fourth Proportional to 13,982, 19,295.70 and 7,694.24

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Solution

The fourth proportional to 13,982, 19,295.70 and 7,694.24 is: 10,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982 : 19,295.70 = 7,694.24 : x
  2. Step 2: Convert to fraction form
    13,982/19,295.70 = 7,694.24/x
  3. Step 3: Cross multiply
    13,982x = 19,295.70 × 7,694.24
  4. Step 4: Simplify right side
    13,982x = 148,465,746.77
  5. Step 5: Solve for x
    x = 148,465,746.77/13,982
  6. Step 6: Final answer
    x = 10,618.35

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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.