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Finding the Fourth Proportional to 7,904, 10,907.36 and 4,319

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Solution

The fourth proportional to 7,904, 10,907.36 and 4,319 is: 5,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904 : 10,907.36 = 4,319 : x
  2. Step 2: Convert to fraction form
    7,904/10,907.36 = 4,319/x
  3. Step 3: Cross multiply
    7,904x = 10,907.36 × 4,319
  4. Step 4: Simplify right side
    7,904x = 47,108,887.84
  5. Step 5: Solve for x
    x = 47,108,887.84/7,904
  6. Step 6: Final answer
    x = 5,960.13

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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.