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Finding the Fourth Proportional to 30,677.59, 46,017.41 and 8,489.10

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Solution

The fourth proportional to 30,677.59, 46,017.41 and 8,489.10 is: 12,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.59 : 46,017.41 = 8,489.10 : x
  2. Step 2: Convert to fraction form
    30,677.59/46,017.41 = 8,489.10/x
  3. Step 3: Cross multiply
    30,677.59x = 46,017.41 × 8,489.10
  4. Step 4: Simplify right side
    30,677.59x = 390,646,395.23
  5. Step 5: Solve for x
    x = 390,646,395.23/30,677.59
  6. Step 6: Final answer
    x = 12,733.93

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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.