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Finding the Fourth Proportional to 7,689.72, 11,534.58 and 2,495.64

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Solution

The fourth proportional to 7,689.72, 11,534.58 and 2,495.64 is: 3,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.72 : 11,534.58 = 2,495.64 : x
  2. Step 2: Convert to fraction form
    7,689.72/11,534.58 = 2,495.64/x
  3. Step 3: Cross multiply
    7,689.72x = 11,534.58 × 2,495.64
  4. Step 4: Simplify right side
    7,689.72x = 28,786,159.23
  5. Step 5: Solve for x
    x = 28,786,159.23/7,689.72
  6. Step 6: Final answer
    x = 3,743.46

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1.5x scale

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.