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Finding the Fourth Proportional to 11,416.66, 15,750 and 6,698.80

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Solution

The fourth proportional to 11,416.66, 15,750 and 6,698.80 is: 9,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.66 : 15,750 = 6,698.80 : x
  2. Step 2: Convert to fraction form
    11,416.66/15,750 = 6,698.80/x
  3. Step 3: Cross multiply
    11,416.66x = 15,750 × 6,698.80
  4. Step 4: Simplify right side
    11,416.66x = 105,506,100
  5. Step 5: Solve for x
    x = 105,506,100/11,416.66
  6. Step 6: Final answer
    x = 9,241.42

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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.