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Finding the Fourth Proportional to 9,970.35, 13,758.65 and 5,494.07

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Solution

The fourth proportional to 9,970.35, 13,758.65 and 5,494.07 is: 7,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.35 : 13,758.65 = 5,494.07 : x
  2. Step 2: Convert to fraction form
    9,970.35/13,758.65 = 5,494.07/x
  3. Step 3: Cross multiply
    9,970.35x = 13,758.65 × 5,494.07
  4. Step 4: Simplify right side
    9,970.35x = 75,590,889.94
  5. Step 5: Solve for x
    x = 75,590,889.94/9,970.35
  6. Step 6: Final answer
    x = 7,581.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.