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Finding the Fourth Proportional to 7,590.56, 10,476 and 4,448

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Solution

The fourth proportional to 7,590.56, 10,476 and 4,448 is: 6,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.56 : 10,476 = 4,448 : x
  2. Step 2: Convert to fraction form
    7,590.56/10,476 = 4,448/x
  3. Step 3: Cross multiply
    7,590.56x = 10,476 × 4,448
  4. Step 4: Simplify right side
    7,590.56x = 46,597,248
  5. Step 5: Solve for x
    x = 46,597,248/7,590.56
  6. Step 6: Final answer
    x = 6,138.84

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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.