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Finding the Fourth Proportional to 11,387.50, 15,714.75 and 6,419.50

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Solution

The fourth proportional to 11,387.50, 15,714.75 and 6,419.50 is: 8,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.50 : 15,714.75 = 6,419.50 : x
  2. Step 2: Convert to fraction form
    11,387.50/15,714.75 = 6,419.50/x
  3. Step 3: Cross multiply
    11,387.50x = 15,714.75 × 6,419.50
  4. Step 4: Simplify right side
    11,387.50x = 100,880,837.63
  5. Step 5: Solve for x
    x = 100,880,837.63/11,387.50
  6. Step 6: Final answer
    x = 8,858.91

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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.