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Finding the Fourth Proportional to 13,583, 18,738.16 and 9,606.30

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Solution

The fourth proportional to 13,583, 18,738.16 and 9,606.30 is: 13,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583 : 18,738.16 = 9,606.30 : x
  2. Step 2: Convert to fraction form
    13,583/18,738.16 = 9,606.30/x
  3. Step 3: Cross multiply
    13,583x = 18,738.16 × 9,606.30
  4. Step 4: Simplify right side
    13,583x = 180,004,386.41
  5. Step 5: Solve for x
    x = 180,004,386.41/13,583
  6. Step 6: Final answer
    x = 13,252.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.