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Finding the Fourth Proportional to 10,922.64, 15,069.64 and 6,384.32

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Solution

The fourth proportional to 10,922.64, 15,069.64 and 6,384.32 is: 8,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.64 : 15,069.64 = 6,384.32 : x
  2. Step 2: Convert to fraction form
    10,922.64/15,069.64 = 6,384.32/x
  3. Step 3: Cross multiply
    10,922.64x = 15,069.64 × 6,384.32
  4. Step 4: Simplify right side
    10,922.64x = 96,209,404.04
  5. Step 5: Solve for x
    x = 96,209,404.04/10,922.64
  6. Step 6: Final answer
    x = 8,808.26

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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.