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Finding the Fourth Proportional to 9,673.80, 13,345.10 and 6,315.06

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Solution

The fourth proportional to 9,673.80, 13,345.10 and 6,315.06 is: 8,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.80 : 13,345.10 = 6,315.06 : x
  2. Step 2: Convert to fraction form
    9,673.80/13,345.10 = 6,315.06/x
  3. Step 3: Cross multiply
    9,673.80x = 13,345.10 × 6,315.06
  4. Step 4: Simplify right side
    9,673.80x = 84,275,107.21
  5. Step 5: Solve for x
    x = 84,275,107.21/9,673.80
  6. Step 6: Final answer
    x = 8,711.69

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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.