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Finding the Fourth Proportional to 12,255, 16,921.43 and 9,417.90

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Solution

The fourth proportional to 12,255, 16,921.43 and 9,417.90 is: 13,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255 : 16,921.43 = 9,417.90 : x
  2. Step 2: Convert to fraction form
    12,255/16,921.43 = 9,417.90/x
  3. Step 3: Cross multiply
    12,255x = 16,921.43 × 9,417.90
  4. Step 4: Simplify right side
    12,255x = 159,364,335.60
  5. Step 5: Solve for x
    x = 159,364,335.60/12,255
  6. Step 6: Final answer
    x = 13,004.03

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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.