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Finding the Fourth Proportional to 5,695.20, 8,542.80 and 5,042.40

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Solution

The fourth proportional to 5,695.20, 8,542.80 and 5,042.40 is: 7,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.20 : 8,542.80 = 5,042.40 : x
  2. Step 2: Convert to fraction form
    5,695.20/8,542.80 = 5,042.40/x
  3. Step 3: Cross multiply
    5,695.20x = 8,542.80 × 5,042.40
  4. Step 4: Simplify right side
    5,695.20x = 43,076,214.72
  5. Step 5: Solve for x
    x = 43,076,214.72/5,695.20
  6. Step 6: Final answer
    x = 7,563.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.