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Finding the Fourth Proportional to 19,970.16, 29,960.04 and 10,109.16

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Solution

The fourth proportional to 19,970.16, 29,960.04 and 10,109.16 is: 15,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.16 : 29,960.04 = 10,109.16 : x
  2. Step 2: Convert to fraction form
    19,970.16/29,960.04 = 10,109.16/x
  3. Step 3: Cross multiply
    19,970.16x = 29,960.04 × 10,109.16
  4. Step 4: Simplify right side
    19,970.16x = 302,870,837.97
  5. Step 5: Solve for x
    x = 302,870,837.97/19,970.16
  6. Step 6: Final answer
    x = 15,166.17

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1.5x scale

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.