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Finding the Fourth Proportional to 12,315.70, 18,479.74 and 5,742.40

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Solution

The fourth proportional to 12,315.70, 18,479.74 and 5,742.40 is: 8,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.70 : 18,479.74 = 5,742.40 : x
  2. Step 2: Convert to fraction form
    12,315.70/18,479.74 = 5,742.40/x
  3. Step 3: Cross multiply
    12,315.70x = 18,479.74 × 5,742.40
  4. Step 4: Simplify right side
    12,315.70x = 106,118,058.98
  5. Step 5: Solve for x
    x = 106,118,058.98/12,315.70
  6. Step 6: Final answer
    x = 8,616.49

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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.