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Finding the Fourth Proportional to 13,907.78, 19,191.93 and 7,619.06

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Solution

The fourth proportional to 13,907.78, 19,191.93 and 7,619.06 is: 10,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.78 : 19,191.93 = 7,619.06 : x
  2. Step 2: Convert to fraction form
    13,907.78/19,191.93 = 7,619.06/x
  3. Step 3: Cross multiply
    13,907.78x = 19,191.93 × 7,619.06
  4. Step 4: Simplify right side
    13,907.78x = 146,224,466.19
  5. Step 5: Solve for x
    x = 146,224,466.19/13,907.78
  6. Step 6: Final answer
    x = 10,513.86

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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.