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Finding the Fourth Proportional to 4,702.88, 7,051.62 and 1,415.00

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Solution

The fourth proportional to 4,702.88, 7,051.62 and 1,415.00 is: 2,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.88 : 7,051.62 = 1,415.00 : x
  2. Step 2: Convert to fraction form
    4,702.88/7,051.62 = 1,415.00/x
  3. Step 3: Cross multiply
    4,702.88x = 7,051.62 × 1,415.00
  4. Step 4: Simplify right side
    4,702.88x = 9,978,065.24
  5. Step 5: Solve for x
    x = 9,978,065.24/4,702.88
  6. Step 6: Final answer
    x = 2,121.69

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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.