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Finding the Fourth Proportional to 6,642.90, 9,164.16 and 3,985.74

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Solution

The fourth proportional to 6,642.90, 9,164.16 and 3,985.74 is: 5,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.90 : 9,164.16 = 3,985.74 : x
  2. Step 2: Convert to fraction form
    6,642.90/9,164.16 = 3,985.74/x
  3. Step 3: Cross multiply
    6,642.90x = 9,164.16 × 3,985.74
  4. Step 4: Simplify right side
    6,642.90x = 36,525,959.08
  5. Step 5: Solve for x
    x = 36,525,959.08/6,642.90
  6. Step 6: Final answer
    x = 5,498.50

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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.