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Finding the Fourth Proportional to 21,597, 32,392.72 and 6,804.64

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Solution

The fourth proportional to 21,597, 32,392.72 and 6,804.64 is: 10,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597 : 32,392.72 = 6,804.64 : x
  2. Step 2: Convert to fraction form
    21,597/32,392.72 = 6,804.64/x
  3. Step 3: Cross multiply
    21,597x = 32,392.72 × 6,804.64
  4. Step 4: Simplify right side
    21,597x = 220,420,798.22
  5. Step 5: Solve for x
    x = 220,420,798.22/21,597
  6. Step 6: Final answer
    x = 10,206.08

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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.