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Finding the Fourth Proportional to 4,702.70, 7,051.35 and 1,415.30

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Solution

The fourth proportional to 4,702.70, 7,051.35 and 1,415.30 is: 2,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.70 : 7,051.35 = 1,415.30 : x
  2. Step 2: Convert to fraction form
    4,702.70/7,051.35 = 1,415.30/x
  3. Step 3: Cross multiply
    4,702.70x = 7,051.35 × 1,415.30
  4. Step 4: Simplify right side
    4,702.70x = 9,979,775.66
  5. Step 5: Solve for x
    x = 9,979,775.66/4,702.70
  6. Step 6: Final answer
    x = 2,122.14

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1.5x scale

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.