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Finding the Fourth Proportional to 46,320.48, 69,480.72 and 18,612

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Solution

The fourth proportional to 46,320.48, 69,480.72 and 18,612 is: 27,918

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,320.48 : 69,480.72 = 18,612 : x
  2. Step 2: Convert to fraction form
    46,320.48/69,480.72 = 18,612/x
  3. Step 3: Cross multiply
    46,320.48x = 69,480.72 × 18,612
  4. Step 4: Simplify right side
    46,320.48x = 1,293,175,160.64
  5. Step 5: Solve for x
    x = 1,293,175,160.64/46,320.48
  6. Step 6: Final answer
    x = 27,918

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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.