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Finding the Fourth Proportional to 13,053.61, 18,014 and 7,085.28

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Solution

The fourth proportional to 13,053.61, 18,014 and 7,085.28 is: 9,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.61 : 18,014 = 7,085.28 : x
  2. Step 2: Convert to fraction form
    13,053.61/18,014 = 7,085.28/x
  3. Step 3: Cross multiply
    13,053.61x = 18,014 × 7,085.28
  4. Step 4: Simplify right side
    13,053.61x = 127,634,233.92
  5. Step 5: Solve for x
    x = 127,634,233.92/13,053.61
  6. Step 6: Final answer
    x = 9,777.70

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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.