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Finding the Fourth Proportional to 11,125, 15,352.50 and 6,412.02

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Solution

The fourth proportional to 11,125, 15,352.50 and 6,412.02 is: 8,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125 : 15,352.50 = 6,412.02 : x
  2. Step 2: Convert to fraction form
    11,125/15,352.50 = 6,412.02/x
  3. Step 3: Cross multiply
    11,125x = 15,352.50 × 6,412.02
  4. Step 4: Simplify right side
    11,125x = 98,440,537.05
  5. Step 5: Solve for x
    x = 98,440,537.05/11,125
  6. Step 6: Final answer
    x = 8,848.59

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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.