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Finding the Fourth Proportional to 13,312, 19,981.22 and 7,072.06

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Solution

The fourth proportional to 13,312, 19,981.22 and 7,072.06 is: 10,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312 : 19,981.22 = 7,072.06 : x
  2. Step 2: Convert to fraction form
    13,312/19,981.22 = 7,072.06/x
  3. Step 3: Cross multiply
    13,312x = 19,981.22 × 7,072.06
  4. Step 4: Simplify right side
    13,312x = 141,308,386.71
  5. Step 5: Solve for x
    x = 141,308,386.71/13,312
  6. Step 6: Final answer
    x = 10,615.11

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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.