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Finding the Fourth Proportional to 13,788.80, 19,028.87 and 7,820.87

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Solution

The fourth proportional to 13,788.80, 19,028.87 and 7,820.87 is: 10,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.80 : 19,028.87 = 7,820.87 : x
  2. Step 2: Convert to fraction form
    13,788.80/19,028.87 = 7,820.87/x
  3. Step 3: Cross multiply
    13,788.80x = 19,028.87 × 7,820.87
  4. Step 4: Simplify right side
    13,788.80x = 148,822,184.27
  5. Step 5: Solve for x
    x = 148,822,184.27/13,788.80
  6. Step 6: Final answer
    x = 10,792.98

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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.