Home / 13,827-19,081.40-7,539.51

Finding the Fourth Proportional to 13,827, 19,081.40 and 7,539.51

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Solution

The fourth proportional to 13,827, 19,081.40 and 7,539.51 is: 10,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 19,081.40 = 7,539.51 : x
  2. Step 2: Convert to fraction form
    13,827/19,081.40 = 7,539.51/x
  3. Step 3: Cross multiply
    13,827x = 19,081.40 × 7,539.51
  4. Step 4: Simplify right side
    13,827x = 143,864,368.42
  5. Step 5: Solve for x
    x = 143,864,368.42/13,827
  6. Step 6: Final answer
    x = 10,404.60

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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.