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Finding the Fourth Proportional to 6,364.16, 9,547.62 and 1,981.97

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Solution

The fourth proportional to 6,364.16, 9,547.62 and 1,981.97 is: 2,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.16 : 9,547.62 = 1,981.97 : x
  2. Step 2: Convert to fraction form
    6,364.16/9,547.62 = 1,981.97/x
  3. Step 3: Cross multiply
    6,364.16x = 9,547.62 × 1,981.97
  4. Step 4: Simplify right side
    6,364.16x = 18,923,096.41
  5. Step 5: Solve for x
    x = 18,923,096.41/6,364.16
  6. Step 6: Final answer
    x = 2,973.38

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1.5x scale

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.