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Finding the Fourth Proportional to 8,690.50, 13,038.15 and 2,534.50

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Solution

The fourth proportional to 8,690.50, 13,038.15 and 2,534.50 is: 3,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.50 : 13,038.15 = 2,534.50 : x
  2. Step 2: Convert to fraction form
    8,690.50/13,038.15 = 2,534.50/x
  3. Step 3: Cross multiply
    8,690.50x = 13,038.15 × 2,534.50
  4. Step 4: Simplify right side
    8,690.50x = 33,045,191.18
  5. Step 5: Solve for x
    x = 33,045,191.18/8,690.50
  6. Step 6: Final answer
    x = 3,802.45

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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.