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Finding the Fourth Proportional to 7,700, 10,626 and 4,388

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Solution

The fourth proportional to 7,700, 10,626 and 4,388 is: 6,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700 : 10,626 = 4,388 : x
  2. Step 2: Convert to fraction form
    7,700/10,626 = 4,388/x
  3. Step 3: Cross multiply
    7,700x = 10,626 × 4,388
  4. Step 4: Simplify right side
    7,700x = 46,626,888
  5. Step 5: Solve for x
    x = 46,626,888/7,700
  6. Step 6: Final answer
    x = 6,055.44

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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.