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Finding the Fourth Proportional to 6,323.40, 8,729.10 and 4,645.08

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Solution

The fourth proportional to 6,323.40, 8,729.10 and 4,645.08 is: 6,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.40 : 8,729.10 = 4,645.08 : x
  2. Step 2: Convert to fraction form
    6,323.40/8,729.10 = 4,645.08/x
  3. Step 3: Cross multiply
    6,323.40x = 8,729.10 × 4,645.08
  4. Step 4: Simplify right side
    6,323.40x = 40,547,367.83
  5. Step 5: Solve for x
    x = 40,547,367.83/6,323.40
  6. Step 6: Final answer
    x = 6,412.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.