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Finding the Fourth Proportional to 4,907.94, 7,362.64 and 1,985.60

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Solution

The fourth proportional to 4,907.94, 7,362.64 and 1,985.60 is: 2,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.94 : 7,362.64 = 1,985.60 : x
  2. Step 2: Convert to fraction form
    4,907.94/7,362.64 = 1,985.60/x
  3. Step 3: Cross multiply
    4,907.94x = 7,362.64 × 1,985.60
  4. Step 4: Simplify right side
    4,907.94x = 14,619,257.98
  5. Step 5: Solve for x
    x = 14,619,257.98/4,907.94
  6. Step 6: Final answer
    x = 2,978.70

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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.