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Finding the Fourth Proportional to 3,547.72, 5,319.69 and 1,356

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Solution

The fourth proportional to 3,547.72, 5,319.69 and 1,356 is: 2,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.72 : 5,319.69 = 1,356 : x
  2. Step 2: Convert to fraction form
    3,547.72/5,319.69 = 1,356/x
  3. Step 3: Cross multiply
    3,547.72x = 5,319.69 × 1,356
  4. Step 4: Simplify right side
    3,547.72x = 7,213,499.64
  5. Step 5: Solve for x
    x = 7,213,499.64/3,547.72
  6. Step 6: Final answer
    x = 2,033.28

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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.