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Finding the Fourth Proportional to 5,547.85, 7,643.01 and 3,866.20

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Solution

The fourth proportional to 5,547.85, 7,643.01 and 3,866.20 is: 5,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.85 : 7,643.01 = 3,866.20 : x
  2. Step 2: Convert to fraction form
    5,547.85/7,643.01 = 3,866.20/x
  3. Step 3: Cross multiply
    5,547.85x = 7,643.01 × 3,866.20
  4. Step 4: Simplify right side
    5,547.85x = 29,549,429.31
  5. Step 5: Solve for x
    x = 29,549,429.31/5,547.85
  6. Step 6: Final answer
    x = 5,326.28

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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.