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Finding the Fourth Proportional to 9,407.76, 12,982.40 and 5,216.32

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Solution

The fourth proportional to 9,407.76, 12,982.40 and 5,216.32 is: 7,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.76 : 12,982.40 = 5,216.32 : x
  2. Step 2: Convert to fraction form
    9,407.76/12,982.40 = 5,216.32/x
  3. Step 3: Cross multiply
    9,407.76x = 12,982.40 × 5,216.32
  4. Step 4: Simplify right side
    9,407.76x = 67,720,352.77
  5. Step 5: Solve for x
    x = 67,720,352.77/9,407.76
  6. Step 6: Final answer
    x = 7,198.35

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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.