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Finding the Fourth Proportional to 12,794.53, 17,657.75 and 7,130.20

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Solution

The fourth proportional to 12,794.53, 17,657.75 and 7,130.20 is: 9,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.53 : 17,657.75 = 7,130.20 : x
  2. Step 2: Convert to fraction form
    12,794.53/17,657.75 = 7,130.20/x
  3. Step 3: Cross multiply
    12,794.53x = 17,657.75 × 7,130.20
  4. Step 4: Simplify right side
    12,794.53x = 125,903,289.05
  5. Step 5: Solve for x
    x = 125,903,289.05/12,794.53
  6. Step 6: Final answer
    x = 9,840.40

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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.