Home / 13,871-19,141.98-7,583.40

Finding the Fourth Proportional to 13,871, 19,141.98 and 7,583.40

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Solution

The fourth proportional to 13,871, 19,141.98 and 7,583.40 is: 10,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871 : 19,141.98 = 7,583.40 : x
  2. Step 2: Convert to fraction form
    13,871/19,141.98 = 7,583.40/x
  3. Step 3: Cross multiply
    13,871x = 19,141.98 × 7,583.40
  4. Step 4: Simplify right side
    13,871x = 145,161,291.13
  5. Step 5: Solve for x
    x = 145,161,291.13/13,871
  6. Step 6: Final answer
    x = 10,465.09

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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.