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Finding the Fourth Proportional to 17,980.68, 26,971 and 6,291.20

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Solution

The fourth proportional to 17,980.68, 26,971 and 6,291.20 is: 9,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.68 : 26,971 = 6,291.20 : x
  2. Step 2: Convert to fraction form
    17,980.68/26,971 = 6,291.20/x
  3. Step 3: Cross multiply
    17,980.68x = 26,971 × 6,291.20
  4. Step 4: Simplify right side
    17,980.68x = 169,679,955.20
  5. Step 5: Solve for x
    x = 169,679,955.20/17,980.68
  6. Step 6: Final answer
    x = 9,436.79

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1.5x scale

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.