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Finding the Fourth Proportional to 13,698.32, 18,884.04 and 9,214.16

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Solution

The fourth proportional to 13,698.32, 18,884.04 and 9,214.16 is: 12,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.32 : 18,884.04 = 9,214.16 : x
  2. Step 2: Convert to fraction form
    13,698.32/18,884.04 = 9,214.16/x
  3. Step 3: Cross multiply
    13,698.32x = 18,884.04 × 9,214.16
  4. Step 4: Simplify right side
    13,698.32x = 174,000,566.01
  5. Step 5: Solve for x
    x = 174,000,566.01/13,698.32
  6. Step 6: Final answer
    x = 12,702.33

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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.