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Finding the Fourth Proportional to 8,422.81, 11,623.71 and 4,646.23

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Solution

The fourth proportional to 8,422.81, 11,623.71 and 4,646.23 is: 6,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.81 : 11,623.71 = 4,646.23 : x
  2. Step 2: Convert to fraction form
    8,422.81/11,623.71 = 4,646.23/x
  3. Step 3: Cross multiply
    8,422.81x = 11,623.71 × 4,646.23
  4. Step 4: Simplify right side
    8,422.81x = 54,006,430.11
  5. Step 5: Solve for x
    x = 54,006,430.11/8,422.81
  6. Step 6: Final answer
    x = 6,411.93

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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.