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Finding the Fourth Proportional to 12,695.70, 19,047.46 and 5,681.58

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Solution

The fourth proportional to 12,695.70, 19,047.46 and 5,681.58 is: 8,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.70 : 19,047.46 = 5,681.58 : x
  2. Step 2: Convert to fraction form
    12,695.70/19,047.46 = 5,681.58/x
  3. Step 3: Cross multiply
    12,695.70x = 19,047.46 × 5,681.58
  4. Step 4: Simplify right side
    12,695.70x = 108,219,667.79
  5. Step 5: Solve for x
    x = 108,219,667.79/12,695.70
  6. Step 6: Final answer
    x = 8,524.12

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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.