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Finding the Fourth Proportional to 8,969.32, 13,461 and 6,215.32

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Solution

The fourth proportional to 8,969.32, 13,461 and 6,215.32 is: 9,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.32 : 13,461 = 6,215.32 : x
  2. Step 2: Convert to fraction form
    8,969.32/13,461 = 6,215.32/x
  3. Step 3: Cross multiply
    8,969.32x = 13,461 × 6,215.32
  4. Step 4: Simplify right side
    8,969.32x = 83,664,422.52
  5. Step 5: Solve for x
    x = 83,664,422.52/8,969.32
  6. Step 6: Final answer
    x = 9,327.84

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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.