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Finding the Fourth Proportional to 10,442.70, 15,665.06 and 3,047.00

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Solution

The fourth proportional to 10,442.70, 15,665.06 and 3,047.00 is: 4,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.70 : 15,665.06 = 3,047.00 : x
  2. Step 2: Convert to fraction form
    10,442.70/15,665.06 = 3,047.00/x
  3. Step 3: Cross multiply
    10,442.70x = 15,665.06 × 3,047.00
  4. Step 4: Simplify right side
    10,442.70x = 47,731,367.11
  5. Step 5: Solve for x
    x = 47,731,367.11/10,442.70
  6. Step 6: Final answer
    x = 4,570.79

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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.