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Finding the Fourth Proportional to 7,016.04, 9,684.90 and 4,221

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Solution

The fourth proportional to 7,016.04, 9,684.90 and 4,221 is: 5,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.04 : 9,684.90 = 4,221 : x
  2. Step 2: Convert to fraction form
    7,016.04/9,684.90 = 4,221/x
  3. Step 3: Cross multiply
    7,016.04x = 9,684.90 × 4,221
  4. Step 4: Simplify right side
    7,016.04x = 40,879,962.90
  5. Step 5: Solve for x
    x = 40,879,962.90/7,016.04
  6. Step 6: Final answer
    x = 5,826.64

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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.