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Finding the Fourth Proportional to 4,656.75, 6,985.20 and 1,146.77

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Solution

The fourth proportional to 4,656.75, 6,985.20 and 1,146.77 is: 1,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.75 : 6,985.20 = 1,146.77 : x
  2. Step 2: Convert to fraction form
    4,656.75/6,985.20 = 1,146.77/x
  3. Step 3: Cross multiply
    4,656.75x = 6,985.20 × 1,146.77
  4. Step 4: Simplify right side
    4,656.75x = 8,010,382.88
  5. Step 5: Solve for x
    x = 8,010,382.88/4,656.75
  6. Step 6: Final answer
    x = 1,720.17

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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.