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Finding the Fourth Proportional to 7,976, 11,009.76 and 4,664

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Solution

The fourth proportional to 7,976, 11,009.76 and 4,664 is: 6,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976 : 11,009.76 = 4,664 : x
  2. Step 2: Convert to fraction form
    7,976/11,009.76 = 4,664/x
  3. Step 3: Cross multiply
    7,976x = 11,009.76 × 4,664
  4. Step 4: Simplify right side
    7,976x = 51,349,520.64
  5. Step 5: Solve for x
    x = 51,349,520.64/7,976
  6. Step 6: Final answer
    x = 6,438.00

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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.