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Finding the Fourth Proportional to 12,670.64, 19,005.76 and 4,881.20

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Solution

The fourth proportional to 12,670.64, 19,005.76 and 4,881.20 is: 7,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.64 : 19,005.76 = 4,881.20 : x
  2. Step 2: Convert to fraction form
    12,670.64/19,005.76 = 4,881.20/x
  3. Step 3: Cross multiply
    12,670.64x = 19,005.76 × 4,881.20
  4. Step 4: Simplify right side
    12,670.64x = 92,770,915.71
  5. Step 5: Solve for x
    x = 92,770,915.71/12,670.64
  6. Step 6: Final answer
    x = 7,321.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.