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Finding the Fourth Proportional to 21,547.39, 32,321.64 and 5,965.15

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Solution

The fourth proportional to 21,547.39, 32,321.64 and 5,965.15 is: 8,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.39 : 32,321.64 = 5,965.15 : x
  2. Step 2: Convert to fraction form
    21,547.39/32,321.64 = 5,965.15/x
  3. Step 3: Cross multiply
    21,547.39x = 32,321.64 × 5,965.15
  4. Step 4: Simplify right side
    21,547.39x = 192,803,430.85
  5. Step 5: Solve for x
    x = 192,803,430.85/21,547.39
  6. Step 6: Final answer
    x = 8,947.88

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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.