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Finding the Fourth Proportional to 8,412.18, 11,609.04 and 4,686.18

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Solution

The fourth proportional to 8,412.18, 11,609.04 and 4,686.18 is: 6,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.18 : 11,609.04 = 4,686.18 : x
  2. Step 2: Convert to fraction form
    8,412.18/11,609.04 = 4,686.18/x
  3. Step 3: Cross multiply
    8,412.18x = 11,609.04 × 4,686.18
  4. Step 4: Simplify right side
    8,412.18x = 54,402,051.07
  5. Step 5: Solve for x
    x = 54,402,051.07/8,412.18
  6. Step 6: Final answer
    x = 6,467.06

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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.