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Finding the Fourth Proportional to 17,987.64, 26,989.23 and 9,657.93

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Solution

The fourth proportional to 17,987.64, 26,989.23 and 9,657.93 is: 14,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,987.64 : 26,989.23 = 9,657.93 : x
  2. Step 2: Convert to fraction form
    17,987.64/26,989.23 = 9,657.93/x
  3. Step 3: Cross multiply
    17,987.64x = 26,989.23 × 9,657.93
  4. Step 4: Simplify right side
    17,987.64x = 260,660,094.09
  5. Step 5: Solve for x
    x = 260,660,094.09/17,987.64
  6. Step 6: Final answer
    x = 14,491.07

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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.