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Finding the Fourth Proportional to 13,801.59, 19,047.87 and 7,835.13

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Solution

The fourth proportional to 13,801.59, 19,047.87 and 7,835.13 is: 10,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.59 : 19,047.87 = 7,835.13 : x
  2. Step 2: Convert to fraction form
    13,801.59/19,047.87 = 7,835.13/x
  3. Step 3: Cross multiply
    13,801.59x = 19,047.87 × 7,835.13
  4. Step 4: Simplify right side
    13,801.59x = 149,242,537.67
  5. Step 5: Solve for x
    x = 149,242,537.67/13,801.59
  6. Step 6: Final answer
    x = 10,813.43

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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.