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Finding the Fourth Proportional to 13,773.93, 19,011.47 and 7,809.15

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Solution

The fourth proportional to 13,773.93, 19,011.47 and 7,809.15 is: 10,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.93 : 19,011.47 = 7,809.15 : x
  2. Step 2: Convert to fraction form
    13,773.93/19,011.47 = 7,809.15/x
  3. Step 3: Cross multiply
    13,773.93x = 19,011.47 × 7,809.15
  4. Step 4: Simplify right side
    13,773.93x = 148,463,420.95
  5. Step 5: Solve for x
    x = 148,463,420.95/13,773.93
  6. Step 6: Final answer
    x = 10,778.58

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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.