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Finding the Fourth Proportional to 7,458, 10,292.08 and 4,146

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Solution

The fourth proportional to 7,458, 10,292.08 and 4,146 is: 5,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458 : 10,292.08 = 4,146 : x
  2. Step 2: Convert to fraction form
    7,458/10,292.08 = 4,146/x
  3. Step 3: Cross multiply
    7,458x = 10,292.08 × 4,146
  4. Step 4: Simplify right side
    7,458x = 42,670,963.68
  5. Step 5: Solve for x
    x = 42,670,963.68/7,458
  6. Step 6: Final answer
    x = 5,721.50

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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.