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Finding the Fourth Proportional to 17,130, 25,705.80 and 6,742.32

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Solution

The fourth proportional to 17,130, 25,705.80 and 6,742.32 is: 10,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130 : 25,705.80 = 6,742.32 : x
  2. Step 2: Convert to fraction form
    17,130/25,705.80 = 6,742.32/x
  3. Step 3: Cross multiply
    17,130x = 25,705.80 × 6,742.32
  4. Step 4: Simplify right side
    17,130x = 173,316,729.46
  5. Step 5: Solve for x
    x = 173,316,729.46/17,130
  6. Step 6: Final answer
    x = 10,117.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.