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Finding the Fourth Proportional to 9,209.64, 12,709.30 and 5,017.89

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Solution

The fourth proportional to 9,209.64, 12,709.30 and 5,017.89 is: 6,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.64 : 12,709.30 = 5,017.89 : x
  2. Step 2: Convert to fraction form
    9,209.64/12,709.30 = 5,017.89/x
  3. Step 3: Cross multiply
    9,209.64x = 12,709.30 × 5,017.89
  4. Step 4: Simplify right side
    9,209.64x = 63,773,821.01
  5. Step 5: Solve for x
    x = 63,773,821.01/9,209.64
  6. Step 6: Final answer
    x = 6,924.68

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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.