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Finding the Fourth Proportional to 7,682.36, 10,602.12 and 4,495.71

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Solution

The fourth proportional to 7,682.36, 10,602.12 and 4,495.71 is: 6,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.36 : 10,602.12 = 4,495.71 : x
  2. Step 2: Convert to fraction form
    7,682.36/10,602.12 = 4,495.71/x
  3. Step 3: Cross multiply
    7,682.36x = 10,602.12 × 4,495.71
  4. Step 4: Simplify right side
    7,682.36x = 47,664,113.52
  5. Step 5: Solve for x
    x = 47,664,113.52/7,682.36
  6. Step 6: Final answer
    x = 6,204.36

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Double scale
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1.5x scale

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.