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Finding the Fourth Proportional to 14,245.84, 21,350.13 and 7,657.84

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Solution

The fourth proportional to 14,245.84, 21,350.13 and 7,657.84 is: 11,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245.84 : 21,350.13 = 7,657.84 : x
  2. Step 2: Convert to fraction form
    14,245.84/21,350.13 = 7,657.84/x
  3. Step 3: Cross multiply
    14,245.84x = 21,350.13 × 7,657.84
  4. Step 4: Simplify right side
    14,245.84x = 163,495,879.52
  5. Step 5: Solve for x
    x = 163,495,879.52/14,245.84
  6. Step 6: Final answer
    x = 11,476.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.