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Finding the Fourth Proportional to 12,913.16, 19,368.30 and 4,147.40

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Solution

The fourth proportional to 12,913.16, 19,368.30 and 4,147.40 is: 6,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.16 : 19,368.30 = 4,147.40 : x
  2. Step 2: Convert to fraction form
    12,913.16/19,368.30 = 4,147.40/x
  3. Step 3: Cross multiply
    12,913.16x = 19,368.30 × 4,147.40
  4. Step 4: Simplify right side
    12,913.16x = 80,328,087.42
  5. Step 5: Solve for x
    x = 80,328,087.42/12,913.16
  6. Step 6: Final answer
    x = 6,220.64

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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.