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Finding the Fourth Proportional to 14,130, 19,499.40 and 7,842.24

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Solution

The fourth proportional to 14,130, 19,499.40 and 7,842.24 is: 10,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130 : 19,499.40 = 7,842.24 : x
  2. Step 2: Convert to fraction form
    14,130/19,499.40 = 7,842.24/x
  3. Step 3: Cross multiply
    14,130x = 19,499.40 × 7,842.24
  4. Step 4: Simplify right side
    14,130x = 152,918,974.66
  5. Step 5: Solve for x
    x = 152,918,974.66/14,130
  6. Step 6: Final answer
    x = 10,822.29

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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.