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Finding the Fourth Proportional to 6,985.64, 9,639.41 and 4,000.66

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Solution

The fourth proportional to 6,985.64, 9,639.41 and 4,000.66 is: 5,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.64 : 9,639.41 = 4,000.66 : x
  2. Step 2: Convert to fraction form
    6,985.64/9,639.41 = 4,000.66/x
  3. Step 3: Cross multiply
    6,985.64x = 9,639.41 × 4,000.66
  4. Step 4: Simplify right side
    6,985.64x = 38,563,957.91
  5. Step 5: Solve for x
    x = 38,563,957.91/6,985.64
  6. Step 6: Final answer
    x = 5,520.46

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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.