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Finding the Fourth Proportional to 12,130, 16,749.06 and 7,883.16

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Solution

The fourth proportional to 12,130, 16,749.06 and 7,883.16 is: 10,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130 : 16,749.06 = 7,883.16 : x
  2. Step 2: Convert to fraction form
    12,130/16,749.06 = 7,883.16/x
  3. Step 3: Cross multiply
    12,130x = 16,749.06 × 7,883.16
  4. Step 4: Simplify right side
    12,130x = 132,035,519.83
  5. Step 5: Solve for x
    x = 132,035,519.83/12,130
  6. Step 6: Final answer
    x = 10,885.04

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1.5x scale

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.