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Finding the Fourth Proportional to 13,480, 18,602.40 and 7,891

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Solution

The fourth proportional to 13,480, 18,602.40 and 7,891 is: 10,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480 : 18,602.40 = 7,891 : x
  2. Step 2: Convert to fraction form
    13,480/18,602.40 = 7,891/x
  3. Step 3: Cross multiply
    13,480x = 18,602.40 × 7,891
  4. Step 4: Simplify right side
    13,480x = 146,791,538.40
  5. Step 5: Solve for x
    x = 146,791,538.40/13,480
  6. Step 6: Final answer
    x = 10,889.58

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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.