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Finding the Fourth Proportional to 9,942, 13,719.96 and 5,750.25

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Solution

The fourth proportional to 9,942, 13,719.96 and 5,750.25 is: 7,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942 : 13,719.96 = 5,750.25 : x
  2. Step 2: Convert to fraction form
    9,942/13,719.96 = 5,750.25/x
  3. Step 3: Cross multiply
    9,942x = 13,719.96 × 5,750.25
  4. Step 4: Simplify right side
    9,942x = 78,893,199.99
  5. Step 5: Solve for x
    x = 78,893,199.99/9,942
  6. Step 6: Final answer
    x = 7,935.35

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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.