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Finding the Fourth Proportional to 13,774.95, 19,010.55 and 7,806.99

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Solution

The fourth proportional to 13,774.95, 19,010.55 and 7,806.99 is: 10,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.95 : 19,010.55 = 7,806.99 : x
  2. Step 2: Convert to fraction form
    13,774.95/19,010.55 = 7,806.99/x
  3. Step 3: Cross multiply
    13,774.95x = 19,010.55 × 7,806.99
  4. Step 4: Simplify right side
    13,774.95x = 148,415,173.74
  5. Step 5: Solve for x
    x = 148,415,173.74/13,774.95
  6. Step 6: Final answer
    x = 10,774.28

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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.