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Finding the Fourth Proportional to 8,271.90, 11,411.42 and 7,328.66

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Solution

The fourth proportional to 8,271.90, 11,411.42 and 7,328.66 is: 10,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.90 : 11,411.42 = 7,328.66 : x
  2. Step 2: Convert to fraction form
    8,271.90/11,411.42 = 7,328.66/x
  3. Step 3: Cross multiply
    8,271.90x = 11,411.42 × 7,328.66
  4. Step 4: Simplify right side
    8,271.90x = 83,630,323.60
  5. Step 5: Solve for x
    x = 83,630,323.60/8,271.90
  6. Step 6: Final answer
    x = 10,110.17

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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.