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Finding the Fourth Proportional to 7,119.54, 10,678.46 and 1,925.82

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Solution

The fourth proportional to 7,119.54, 10,678.46 and 1,925.82 is: 2,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.54 : 10,678.46 = 1,925.82 : x
  2. Step 2: Convert to fraction form
    7,119.54/10,678.46 = 1,925.82/x
  3. Step 3: Cross multiply
    7,119.54x = 10,678.46 × 1,925.82
  4. Step 4: Simplify right side
    7,119.54x = 20,564,791.84
  5. Step 5: Solve for x
    x = 20,564,791.84/7,119.54
  6. Step 6: Final answer
    x = 2,888.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.