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Finding the Fourth Proportional to 43,875.48, 65,814.66 and 12,711

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Solution

The fourth proportional to 43,875.48, 65,814.66 and 12,711 is: 19,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,875.48 : 65,814.66 = 12,711 : x
  2. Step 2: Convert to fraction form
    43,875.48/65,814.66 = 12,711/x
  3. Step 3: Cross multiply
    43,875.48x = 65,814.66 × 12,711
  4. Step 4: Simplify right side
    43,875.48x = 836,570,143.26
  5. Step 5: Solve for x
    x = 836,570,143.26/43,875.48
  6. Step 6: Final answer
    x = 19,066.92

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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.