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Finding the Fourth Proportional to 9,970.79, 13,759.07 and 5,494.29

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Solution

The fourth proportional to 9,970.79, 13,759.07 and 5,494.29 is: 7,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.79 : 13,759.07 = 5,494.29 : x
  2. Step 2: Convert to fraction form
    9,970.79/13,759.07 = 5,494.29/x
  3. Step 3: Cross multiply
    9,970.79x = 13,759.07 × 5,494.29
  4. Step 4: Simplify right side
    9,970.79x = 75,596,241.64
  5. Step 5: Solve for x
    x = 75,596,241.64/9,970.79
  6. Step 6: Final answer
    x = 7,581.77

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1.5x scale

Why These Related Problems?

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