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Finding the Fourth Proportional to 4,716, 7,076.88 and 1,980

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Solution

The fourth proportional to 4,716, 7,076.88 and 1,980 is: 2,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716 : 7,076.88 = 1,980 : x
  2. Step 2: Convert to fraction form
    4,716/7,076.88 = 1,980/x
  3. Step 3: Cross multiply
    4,716x = 7,076.88 × 1,980
  4. Step 4: Simplify right side
    4,716x = 14,012,222.40
  5. Step 5: Solve for x
    x = 14,012,222.40/4,716
  6. Step 6: Final answer
    x = 2,971.21

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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.