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Finding the Fourth Proportional to 8,702.72, 13,036.08 and 5,782.40

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Solution

The fourth proportional to 8,702.72, 13,036.08 and 5,782.40 is: 8,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.72 : 13,036.08 = 5,782.40 : x
  2. Step 2: Convert to fraction form
    8,702.72/13,036.08 = 5,782.40/x
  3. Step 3: Cross multiply
    8,702.72x = 13,036.08 × 5,782.40
  4. Step 4: Simplify right side
    8,702.72x = 75,379,828.99
  5. Step 5: Solve for x
    x = 75,379,828.99/8,702.72
  6. Step 6: Final answer
    x = 8,661.64

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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.