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Finding the Fourth Proportional to 14,280.74, 19,706 and 8,313.20

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Solution

The fourth proportional to 14,280.74, 19,706 and 8,313.20 is: 11,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280.74 : 19,706 = 8,313.20 : x
  2. Step 2: Convert to fraction form
    14,280.74/19,706 = 8,313.20/x
  3. Step 3: Cross multiply
    14,280.74x = 19,706 × 8,313.20
  4. Step 4: Simplify right side
    14,280.74x = 163,819,919.20
  5. Step 5: Solve for x
    x = 163,819,919.20/14,280.74
  6. Step 6: Final answer
    x = 11,471.39

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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.