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Finding the Fourth Proportional to 6,666.81, 10,002.64 and 3,547.09

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Solution

The fourth proportional to 6,666.81, 10,002.64 and 3,547.09 is: 5,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.81 : 10,002.64 = 3,547.09 : x
  2. Step 2: Convert to fraction form
    6,666.81/10,002.64 = 3,547.09/x
  3. Step 3: Cross multiply
    6,666.81x = 10,002.64 × 3,547.09
  4. Step 4: Simplify right side
    6,666.81x = 35,480,264.32
  5. Step 5: Solve for x
    x = 35,480,264.32/6,666.81
  6. Step 6: Final answer
    x = 5,321.93

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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.