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Finding the Fourth Proportional to 13,312.10, 19,981.94 and 9,806.06

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Solution

The fourth proportional to 13,312.10, 19,981.94 and 9,806.06 is: 14,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.10 : 19,981.94 = 9,806.06 : x
  2. Step 2: Convert to fraction form
    13,312.10/19,981.94 = 9,806.06/x
  3. Step 3: Cross multiply
    13,312.10x = 19,981.94 × 9,806.06
  4. Step 4: Simplify right side
    13,312.10x = 195,944,158.64
  5. Step 5: Solve for x
    x = 195,944,158.64/13,312.10
  6. Step 6: Final answer
    x = 14,719.26

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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.