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Finding the Fourth Proportional to 30,821.60, 46,196.40 and 17,686.40

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Solution

The fourth proportional to 30,821.60, 46,196.40 and 17,686.40 is: 26,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.60 : 46,196.40 = 17,686.40 : x
  2. Step 2: Convert to fraction form
    30,821.60/46,196.40 = 17,686.40/x
  3. Step 3: Cross multiply
    30,821.60x = 46,196.40 × 17,686.40
  4. Step 4: Simplify right side
    30,821.60x = 817,048,008.96
  5. Step 5: Solve for x
    x = 817,048,008.96/30,821.60
  6. Step 6: Final answer
    x = 26,508.94

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1.5x scale

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.