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Finding the Fourth Proportional to 6,460, 9,691.44 and 2,356

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Solution

The fourth proportional to 6,460, 9,691.44 and 2,356 is: 3,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460 : 9,691.44 = 2,356 : x
  2. Step 2: Convert to fraction form
    6,460/9,691.44 = 2,356/x
  3. Step 3: Cross multiply
    6,460x = 9,691.44 × 2,356
  4. Step 4: Simplify right side
    6,460x = 22,833,032.64
  5. Step 5: Solve for x
    x = 22,833,032.64/6,460
  6. Step 6: Final answer
    x = 3,534.53

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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.