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Finding the Fourth Proportional to 4,702.78, 7,054.20 and 1,240

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Solution

The fourth proportional to 4,702.78, 7,054.20 and 1,240 is: 1,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.78 : 7,054.20 = 1,240 : x
  2. Step 2: Convert to fraction form
    4,702.78/7,054.20 = 1,240/x
  3. Step 3: Cross multiply
    4,702.78x = 7,054.20 × 1,240
  4. Step 4: Simplify right side
    4,702.78x = 8,747,208
  5. Step 5: Solve for x
    x = 8,747,208/4,702.78
  6. Step 6: Final answer
    x = 1,860.01

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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.