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Finding the Fourth Proportional to 13,054, 18,022.80 and 10,064.20

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Solution

The fourth proportional to 13,054, 18,022.80 and 10,064.20 is: 13,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054 : 18,022.80 = 10,064.20 : x
  2. Step 2: Convert to fraction form
    13,054/18,022.80 = 10,064.20/x
  3. Step 3: Cross multiply
    13,054x = 18,022.80 × 10,064.20
  4. Step 4: Simplify right side
    13,054x = 181,385,063.76
  5. Step 5: Solve for x
    x = 181,385,063.76/13,054
  6. Step 6: Final answer
    x = 13,894.98

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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.