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Finding the Fourth Proportional to 17,378.70, 26,031.60 and 9,578.40

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Solution

The fourth proportional to 17,378.70, 26,031.60 and 9,578.40 is: 14,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.70 : 26,031.60 = 9,578.40 : x
  2. Step 2: Convert to fraction form
    17,378.70/26,031.60 = 9,578.40/x
  3. Step 3: Cross multiply
    17,378.70x = 26,031.60 × 9,578.40
  4. Step 4: Simplify right side
    17,378.70x = 249,341,077.44
  5. Step 5: Solve for x
    x = 249,341,077.44/17,378.70
  6. Step 6: Final answer
    x = 14,347.51

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