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Finding the Fourth Proportional to 23,003, 31,743.40 and 12,931.20

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Solution

The fourth proportional to 23,003, 31,743.40 and 12,931.20 is: 17,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003 : 31,743.40 = 12,931.20 : x
  2. Step 2: Convert to fraction form
    23,003/31,743.40 = 12,931.20/x
  3. Step 3: Cross multiply
    23,003x = 31,743.40 × 12,931.20
  4. Step 4: Simplify right side
    23,003x = 410,480,254.08
  5. Step 5: Solve for x
    x = 410,480,254.08/23,003
  6. Step 6: Final answer
    x = 17,844.64

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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.