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Finding the Fourth Proportional to 9,925.40, 13,696.99 and 5,449.22

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Solution

The fourth proportional to 9,925.40, 13,696.99 and 5,449.22 is: 7,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.40 : 13,696.99 = 5,449.22 : x
  2. Step 2: Convert to fraction form
    9,925.40/13,696.99 = 5,449.22/x
  3. Step 3: Cross multiply
    9,925.40x = 13,696.99 × 5,449.22
  4. Step 4: Simplify right side
    9,925.40x = 74,637,911.85
  5. Step 5: Solve for x
    x = 74,637,911.85/9,925.40
  6. Step 6: Final answer
    x = 7,519.89

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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.