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Finding the Fourth Proportional to 9,400.64, 12,973.08 and 5,209.04

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Solution

The fourth proportional to 9,400.64, 12,973.08 and 5,209.04 is: 7,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.64 : 12,973.08 = 5,209.04 : x
  2. Step 2: Convert to fraction form
    9,400.64/12,973.08 = 5,209.04/x
  3. Step 3: Cross multiply
    9,400.64x = 12,973.08 × 5,209.04
  4. Step 4: Simplify right side
    9,400.64x = 67,577,292.64
  5. Step 5: Solve for x
    x = 67,577,292.64/9,400.64
  6. Step 6: Final answer
    x = 7,188.58

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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.