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Finding the Fourth Proportional to 6,981.66, 9,636.93 and 4,470.53

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Solution

The fourth proportional to 6,981.66, 9,636.93 and 4,470.53 is: 6,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.66 : 9,636.93 = 4,470.53 : x
  2. Step 2: Convert to fraction form
    6,981.66/9,636.93 = 4,470.53/x
  3. Step 3: Cross multiply
    6,981.66x = 9,636.93 × 4,470.53
  4. Step 4: Simplify right side
    6,981.66x = 43,082,184.67
  5. Step 5: Solve for x
    x = 43,082,184.67/6,981.66
  6. Step 6: Final answer
    x = 6,170.77

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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.