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Finding the Fourth Proportional to 1,539.78, 2,310.47 and 847.00

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Solution

The fourth proportional to 1,539.78, 2,310.47 and 847.00 is: 1,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.78 : 2,310.47 = 847.00 : x
  2. Step 2: Convert to fraction form
    1,539.78/2,310.47 = 847.00/x
  3. Step 3: Cross multiply
    1,539.78x = 2,310.47 × 847.00
  4. Step 4: Simplify right side
    1,539.78x = 1,956,952.30
  5. Step 5: Solve for x
    x = 1,956,952.30/1,539.78
  6. Step 6: Final answer
    x = 1,270.93

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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.