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Finding the Fourth Proportional to 20,980.48, 31,448.68 and 10,570.40

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Solution

The fourth proportional to 20,980.48, 31,448.68 and 10,570.40 is: 15,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.48 : 31,448.68 = 10,570.40 : x
  2. Step 2: Convert to fraction form
    20,980.48/31,448.68 = 10,570.40/x
  3. Step 3: Cross multiply
    20,980.48x = 31,448.68 × 10,570.40
  4. Step 4: Simplify right side
    20,980.48x = 332,425,127.07
  5. Step 5: Solve for x
    x = 332,425,127.07/20,980.48
  6. Step 6: Final answer
    x = 15,844.50

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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.