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Finding the Fourth Proportional to 6,984, 9,635.76 and 4,627.44

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Solution

The fourth proportional to 6,984, 9,635.76 and 4,627.44 is: 6,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 9,635.76 = 4,627.44 : x
  2. Step 2: Convert to fraction form
    6,984/9,635.76 = 4,627.44/x
  3. Step 3: Cross multiply
    6,984x = 9,635.76 × 4,627.44
  4. Step 4: Simplify right side
    6,984x = 44,588,901.25
  5. Step 5: Solve for x
    x = 44,588,901.25/6,984
  6. Step 6: Final answer
    x = 6,384.44

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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.