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Finding the Fourth Proportional to 13,010, 17,953.80 and 7,420.88

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Solution

The fourth proportional to 13,010, 17,953.80 and 7,420.88 is: 10,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010 : 17,953.80 = 7,420.88 : x
  2. Step 2: Convert to fraction form
    13,010/17,953.80 = 7,420.88/x
  3. Step 3: Cross multiply
    13,010x = 17,953.80 × 7,420.88
  4. Step 4: Simplify right side
    13,010x = 133,232,995.34
  5. Step 5: Solve for x
    x = 133,232,995.34/13,010
  6. Step 6: Final answer
    x = 10,240.81

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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.