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Finding the Fourth Proportional to 4,661.60, 7,000.80 and 4,454

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Solution

The fourth proportional to 4,661.60, 7,000.80 and 4,454 is: 6,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.60 : 7,000.80 = 4,454 : x
  2. Step 2: Convert to fraction form
    4,661.60/7,000.80 = 4,454/x
  3. Step 3: Cross multiply
    4,661.60x = 7,000.80 × 4,454
  4. Step 4: Simplify right side
    4,661.60x = 31,181,563.20
  5. Step 5: Solve for x
    x = 31,181,563.20/4,661.60
  6. Step 6: Final answer
    x = 6,689.03

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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.