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Finding the Fourth Proportional to 8,666.85, 13,000.64 and 7,216.23

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Solution

The fourth proportional to 8,666.85, 13,000.64 and 7,216.23 is: 10,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.85 : 13,000.64 = 7,216.23 : x
  2. Step 2: Convert to fraction form
    8,666.85/13,000.64 = 7,216.23/x
  3. Step 3: Cross multiply
    8,666.85x = 13,000.64 × 7,216.23
  4. Step 4: Simplify right side
    8,666.85x = 93,815,572.31
  5. Step 5: Solve for x
    x = 93,815,572.31/8,666.85
  6. Step 6: Final answer
    x = 10,824.64

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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.