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Finding the Fourth Proportional to 9,700, 13,385.37 and 5,720.20

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Solution

The fourth proportional to 9,700, 13,385.37 and 5,720.20 is: 7,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700 : 13,385.37 = 5,720.20 : x
  2. Step 2: Convert to fraction form
    9,700/13,385.37 = 5,720.20/x
  3. Step 3: Cross multiply
    9,700x = 13,385.37 × 5,720.20
  4. Step 4: Simplify right side
    9,700x = 76,566,993.47
  5. Step 5: Solve for x
    x = 76,566,993.47/9,700
  6. Step 6: Final answer
    x = 7,893.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.