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Finding the Fourth Proportional to 20,699, 31,051.74 and 6,851.24

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Solution

The fourth proportional to 20,699, 31,051.74 and 6,851.24 is: 10,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699 : 31,051.74 = 6,851.24 : x
  2. Step 2: Convert to fraction form
    20,699/31,051.74 = 6,851.24/x
  3. Step 3: Cross multiply
    20,699x = 31,051.74 × 6,851.24
  4. Step 4: Simplify right side
    20,699x = 212,742,923.16
  5. Step 5: Solve for x
    x = 212,742,923.16/20,699
  6. Step 6: Final answer
    x = 10,277.93

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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.