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Finding the Fourth Proportional to 11,191.54, 15,444.12 and 7,654.63

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Solution

The fourth proportional to 11,191.54, 15,444.12 and 7,654.63 is: 10,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.54 : 15,444.12 = 7,654.63 : x
  2. Step 2: Convert to fraction form
    11,191.54/15,444.12 = 7,654.63/x
  3. Step 3: Cross multiply
    11,191.54x = 15,444.12 × 7,654.63
  4. Step 4: Simplify right side
    11,191.54x = 118,219,024.28
  5. Step 5: Solve for x
    x = 118,219,024.28/11,191.54
  6. Step 6: Final answer
    x = 10,563.25

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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.