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Finding the Fourth Proportional to 8,702.56, 13,038.98 and 5,739.20

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Solution

The fourth proportional to 8,702.56, 13,038.98 and 5,739.20 is: 8,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.56 : 13,038.98 = 5,739.20 : x
  2. Step 2: Convert to fraction form
    8,702.56/13,038.98 = 5,739.20/x
  3. Step 3: Cross multiply
    8,702.56x = 13,038.98 × 5,739.20
  4. Step 4: Simplify right side
    8,702.56x = 74,833,314.02
  5. Step 5: Solve for x
    x = 74,833,314.02/8,702.56
  6. Step 6: Final answer
    x = 8,599.00

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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.