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Finding the Fourth Proportional to 14,205.30, 21,317.55 and 7,965.30

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Solution

The fourth proportional to 14,205.30, 21,317.55 and 7,965.30 is: 11,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.30 : 21,317.55 = 7,965.30 : x
  2. Step 2: Convert to fraction form
    14,205.30/21,317.55 = 7,965.30/x
  3. Step 3: Cross multiply
    14,205.30x = 21,317.55 × 7,965.30
  4. Step 4: Simplify right side
    14,205.30x = 169,800,681.02
  5. Step 5: Solve for x
    x = 169,800,681.02/14,205.30
  6. Step 6: Final answer
    x = 11,953.33

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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.