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Finding the Fourth Proportional to 7,752, 11,628.60 and 5,311.06

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Solution

The fourth proportional to 7,752, 11,628.60 and 5,311.06 is: 7,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752 : 11,628.60 = 5,311.06 : x
  2. Step 2: Convert to fraction form
    7,752/11,628.60 = 5,311.06/x
  3. Step 3: Cross multiply
    7,752x = 11,628.60 × 5,311.06
  4. Step 4: Simplify right side
    7,752x = 61,760,192.32
  5. Step 5: Solve for x
    x = 61,760,192.32/7,752
  6. Step 6: Final answer
    x = 7,967.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.