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Finding the Fourth Proportional to 12,129, 16,741.02 and 7,417.26

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Solution

The fourth proportional to 12,129, 16,741.02 and 7,417.26 is: 10,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129 : 16,741.02 = 7,417.26 : x
  2. Step 2: Convert to fraction form
    12,129/16,741.02 = 7,417.26/x
  3. Step 3: Cross multiply
    12,129x = 16,741.02 × 7,417.26
  4. Step 4: Simplify right side
    12,129x = 124,172,498.01
  5. Step 5: Solve for x
    x = 124,172,498.01/12,129
  6. Step 6: Final answer
    x = 10,237.65

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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.