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Finding the Fourth Proportional to 7,470, 10,309.32 and 4,158

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Solution

The fourth proportional to 7,470, 10,309.32 and 4,158 is: 5,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470 : 10,309.32 = 4,158 : x
  2. Step 2: Convert to fraction form
    7,470/10,309.32 = 4,158/x
  3. Step 3: Cross multiply
    7,470x = 10,309.32 × 4,158
  4. Step 4: Simplify right side
    7,470x = 42,866,152.56
  5. Step 5: Solve for x
    x = 42,866,152.56/7,470
  6. Step 6: Final answer
    x = 5,738.44

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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.