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Finding the Fourth Proportional to 9,690.79, 13,372.14 and 5,442.07

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Solution

The fourth proportional to 9,690.79, 13,372.14 and 5,442.07 is: 7,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.79 : 13,372.14 = 5,442.07 : x
  2. Step 2: Convert to fraction form
    9,690.79/13,372.14 = 5,442.07/x
  3. Step 3: Cross multiply
    9,690.79x = 13,372.14 × 5,442.07
  4. Step 4: Simplify right side
    9,690.79x = 72,772,121.93
  5. Step 5: Solve for x
    x = 72,772,121.93/9,690.79
  6. Step 6: Final answer
    x = 7,509.41

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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.