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Finding the Fourth Proportional to 8,669.85, 13,005.15 and 7,219.23

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Solution

The fourth proportional to 8,669.85, 13,005.15 and 7,219.23 is: 10,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.85 : 13,005.15 = 7,219.23 : x
  2. Step 2: Convert to fraction form
    8,669.85/13,005.15 = 7,219.23/x
  3. Step 3: Cross multiply
    8,669.85x = 13,005.15 × 7,219.23
  4. Step 4: Simplify right side
    8,669.85x = 93,887,169.03
  5. Step 5: Solve for x
    x = 93,887,169.03/8,669.85
  6. Step 6: Final answer
    x = 10,829.16

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1.5x scale

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.