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Finding the Fourth Proportional to 13,774.56, 19,010.64 and 7,807.20

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Solution

The fourth proportional to 13,774.56, 19,010.64 and 7,807.20 is: 10,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.56 : 19,010.64 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    13,774.56/19,010.64 = 7,807.20/x
  3. Step 3: Cross multiply
    13,774.56x = 19,010.64 × 7,807.20
  4. Step 4: Simplify right side
    13,774.56x = 148,419,868.61
  5. Step 5: Solve for x
    x = 148,419,868.61/13,774.56
  6. Step 6: Final answer
    x = 10,774.93

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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.