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Finding the Fourth Proportional to 13,902, 19,184.76 and 7,614.48

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Solution

The fourth proportional to 13,902, 19,184.76 and 7,614.48 is: 10,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902 : 19,184.76 = 7,614.48 : x
  2. Step 2: Convert to fraction form
    13,902/19,184.76 = 7,614.48/x
  3. Step 3: Cross multiply
    13,902x = 19,184.76 × 7,614.48
  4. Step 4: Simplify right side
    13,902x = 146,081,971.32
  5. Step 5: Solve for x
    x = 146,081,971.32/13,902
  6. Step 6: Final answer
    x = 10,507.98

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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.