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Finding the Fourth Proportional to 12,953, 17,875.14 and 7,365.08

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Solution

The fourth proportional to 12,953, 17,875.14 and 7,365.08 is: 10,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953 : 17,875.14 = 7,365.08 : x
  2. Step 2: Convert to fraction form
    12,953/17,875.14 = 7,365.08/x
  3. Step 3: Cross multiply
    12,953x = 17,875.14 × 7,365.08
  4. Step 4: Simplify right side
    12,953x = 131,651,836.11
  5. Step 5: Solve for x
    x = 131,651,836.11/12,953
  6. Step 6: Final answer
    x = 10,163.81

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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.