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Finding the Fourth Proportional to 13,815.83, 19,065.84 and 7,528.21

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Solution

The fourth proportional to 13,815.83, 19,065.84 and 7,528.21 is: 10,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.83 : 19,065.84 = 7,528.21 : x
  2. Step 2: Convert to fraction form
    13,815.83/19,065.84 = 7,528.21/x
  3. Step 3: Cross multiply
    13,815.83x = 19,065.84 × 7,528.21
  4. Step 4: Simplify right side
    13,815.83x = 143,531,647.35
  5. Step 5: Solve for x
    x = 143,531,647.35/13,815.83
  6. Step 6: Final answer
    x = 10,388.93

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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.