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Finding the Fourth Proportional to 6,547.80, 9,036 and 3,894.69

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Solution

The fourth proportional to 6,547.80, 9,036 and 3,894.69 is: 5,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.80 : 9,036 = 3,894.69 : x
  2. Step 2: Convert to fraction form
    6,547.80/9,036 = 3,894.69/x
  3. Step 3: Cross multiply
    6,547.80x = 9,036 × 3,894.69
  4. Step 4: Simplify right side
    6,547.80x = 35,192,418.84
  5. Step 5: Solve for x
    x = 35,192,418.84/6,547.80
  6. Step 6: Final answer
    x = 5,374.69

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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.