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Finding the Fourth Proportional to 7,902, 10,905.72 and 4,590

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Solution

The fourth proportional to 7,902, 10,905.72 and 4,590 is: 6,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902 : 10,905.72 = 4,590 : x
  2. Step 2: Convert to fraction form
    7,902/10,905.72 = 4,590/x
  3. Step 3: Cross multiply
    7,902x = 10,905.72 × 4,590
  4. Step 4: Simplify right side
    7,902x = 50,057,254.80
  5. Step 5: Solve for x
    x = 50,057,254.80/7,902
  6. Step 6: Final answer
    x = 6,334.76

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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.