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Finding the Fourth Proportional to 12,130, 16,739.00 and 6,824.50

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Solution

The fourth proportional to 12,130, 16,739.00 and 6,824.50 is: 9,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130 : 16,739.00 = 6,824.50 : x
  2. Step 2: Convert to fraction form
    12,130/16,739.00 = 6,824.50/x
  3. Step 3: Cross multiply
    12,130x = 16,739.00 × 6,824.50
  4. Step 4: Simplify right side
    12,130x = 114,235,271.38
  5. Step 5: Solve for x
    x = 114,235,271.38/12,130
  6. Step 6: Final answer
    x = 9,417.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.