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Finding the Fourth Proportional to 4,702, 7,053.40 and 1,239.26

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Solution

The fourth proportional to 4,702, 7,053.40 and 1,239.26 is: 1,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702 : 7,053.40 = 1,239.26 : x
  2. Step 2: Convert to fraction form
    4,702/7,053.40 = 1,239.26/x
  3. Step 3: Cross multiply
    4,702x = 7,053.40 × 1,239.26
  4. Step 4: Simplify right side
    4,702x = 8,740,996.48
  5. Step 5: Solve for x
    x = 8,740,996.48/4,702
  6. Step 6: Final answer
    x = 1,859.00

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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.