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Finding the Fourth Proportional to 7,752, 10,697.76 and 4,394.88

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Solution

The fourth proportional to 7,752, 10,697.76 and 4,394.88 is: 6,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752 : 10,697.76 = 4,394.88 : x
  2. Step 2: Convert to fraction form
    7,752/10,697.76 = 4,394.88/x
  3. Step 3: Cross multiply
    7,752x = 10,697.76 × 4,394.88
  4. Step 4: Simplify right side
    7,752x = 47,015,371.47
  5. Step 5: Solve for x
    x = 47,015,371.47/7,752
  6. Step 6: Final answer
    x = 6,064.93

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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.