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Finding the Fourth Proportional to 43,508, 65,276.64 and 18,547.04

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Solution

The fourth proportional to 43,508, 65,276.64 and 18,547.04 is: 27,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,508 : 65,276.64 = 18,547.04 : x
  2. Step 2: Convert to fraction form
    43,508/65,276.64 = 18,547.04/x
  3. Step 3: Cross multiply
    43,508x = 65,276.64 × 18,547.04
  4. Step 4: Simplify right side
    43,508x = 1,210,688,453.15
  5. Step 5: Solve for x
    x = 1,210,688,453.15/43,508
  6. Step 6: Final answer
    x = 27,826.80

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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.