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Finding the Fourth Proportional to 9,209.52, 12,709.16 and 5,017.80

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Solution

The fourth proportional to 9,209.52, 12,709.16 and 5,017.80 is: 6,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.52 : 12,709.16 = 5,017.80 : x
  2. Step 2: Convert to fraction form
    9,209.52/12,709.16 = 5,017.80/x
  3. Step 3: Cross multiply
    9,209.52x = 12,709.16 × 5,017.80
  4. Step 4: Simplify right side
    9,209.52x = 63,772,023.05
  5. Step 5: Solve for x
    x = 63,772,023.05/9,209.52
  6. Step 6: Final answer
    x = 6,924.58

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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.