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Finding the Fourth Proportional to 6,619.86, 9,857.81 and 6,547.14

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Solution

The fourth proportional to 6,619.86, 9,857.81 and 6,547.14 is: 9,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619.86 : 9,857.81 = 6,547.14 : x
  2. Step 2: Convert to fraction form
    6,619.86/9,857.81 = 6,547.14/x
  3. Step 3: Cross multiply
    6,619.86x = 9,857.81 × 6,547.14
  4. Step 4: Simplify right side
    6,619.86x = 64,540,429.43
  5. Step 5: Solve for x
    x = 64,540,429.43/6,619.86
  6. Step 6: Final answer
    x = 9,749.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.