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Finding the Fourth Proportional to 14,617.40, 21,920.70 and 7,219.40

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Solution

The fourth proportional to 14,617.40, 21,920.70 and 7,219.40 is: 10,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.40 : 21,920.70 = 7,219.40 : x
  2. Step 2: Convert to fraction form
    14,617.40/21,920.70 = 7,219.40/x
  3. Step 3: Cross multiply
    14,617.40x = 21,920.70 × 7,219.40
  4. Step 4: Simplify right side
    14,617.40x = 158,254,301.58
  5. Step 5: Solve for x
    x = 158,254,301.58/14,617.40
  6. Step 6: Final answer
    x = 10,826.43

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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.