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Finding the Fourth Proportional to 9,126.90, 13,690.35 and 3,283.50

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Solution

The fourth proportional to 9,126.90, 13,690.35 and 3,283.50 is: 4,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.90 : 13,690.35 = 3,283.50 : x
  2. Step 2: Convert to fraction form
    9,126.90/13,690.35 = 3,283.50/x
  3. Step 3: Cross multiply
    9,126.90x = 13,690.35 × 3,283.50
  4. Step 4: Simplify right side
    9,126.90x = 44,952,264.23
  5. Step 5: Solve for x
    x = 44,952,264.23/9,126.90
  6. Step 6: Final answer
    x = 4,925.25

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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.