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Finding the Fourth Proportional to 23,130.32, 31,912.04 and 15,060.32

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Solution

The fourth proportional to 23,130.32, 31,912.04 and 15,060.32 is: 20,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.32 : 31,912.04 = 15,060.32 : x
  2. Step 2: Convert to fraction form
    23,130.32/31,912.04 = 15,060.32/x
  3. Step 3: Cross multiply
    23,130.32x = 31,912.04 × 15,060.32
  4. Step 4: Simplify right side
    23,130.32x = 480,605,534.25
  5. Step 5: Solve for x
    x = 480,605,534.25/23,130.32
  6. Step 6: Final answer
    x = 20,778.16

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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.