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Finding the Fourth Proportional to 14,216.71, 21,281.32 and 9,275.71

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Solution

The fourth proportional to 14,216.71, 21,281.32 and 9,275.71 is: 13,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.71 : 21,281.32 = 9,275.71 : x
  2. Step 2: Convert to fraction form
    14,216.71/21,281.32 = 9,275.71/x
  3. Step 3: Cross multiply
    14,216.71x = 21,281.32 × 9,275.71
  4. Step 4: Simplify right side
    14,216.71x = 197,399,199.95
  5. Step 5: Solve for x
    x = 197,399,199.95/14,216.71
  6. Step 6: Final answer
    x = 13,885.02

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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.