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Finding the Fourth Proportional to 11,562, 15,955.44 and 6,256.70

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Solution

The fourth proportional to 11,562, 15,955.44 and 6,256.70 is: 8,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562 : 15,955.44 = 6,256.70 : x
  2. Step 2: Convert to fraction form
    11,562/15,955.44 = 6,256.70/x
  3. Step 3: Cross multiply
    11,562x = 15,955.44 × 6,256.70
  4. Step 4: Simplify right side
    11,562x = 99,828,401.45
  5. Step 5: Solve for x
    x = 99,828,401.45/11,562
  6. Step 6: Final answer
    x = 8,634.18

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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.