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Finding the Fourth Proportional to 13,054, 18,014.54 and 7,465.12

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Solution

The fourth proportional to 13,054, 18,014.54 and 7,465.12 is: 10,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054 : 18,014.54 = 7,465.12 : x
  2. Step 2: Convert to fraction form
    13,054/18,014.54 = 7,465.12/x
  3. Step 3: Cross multiply
    13,054x = 18,014.54 × 7,465.12
  4. Step 4: Simplify right side
    13,054x = 134,480,702.84
  5. Step 5: Solve for x
    x = 134,480,702.84/13,054
  6. Step 6: Final answer
    x = 10,301.88

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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.