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Finding the Fourth Proportional to 5,164.02, 7,746 and 1,877.10

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Solution

The fourth proportional to 5,164.02, 7,746 and 1,877.10 is: 2,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.02 : 7,746 = 1,877.10 : x
  2. Step 2: Convert to fraction form
    5,164.02/7,746 = 1,877.10/x
  3. Step 3: Cross multiply
    5,164.02x = 7,746 × 1,877.10
  4. Step 4: Simplify right side
    5,164.02x = 14,540,016.60
  5. Step 5: Solve for x
    x = 14,540,016.60/5,164.02
  6. Step 6: Final answer
    x = 2,815.64

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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.