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Finding the Fourth Proportional to 56,518.64, 84,760.32 and 19,574

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Solution

The fourth proportional to 56,518.64, 84,760.32 and 19,574 is: 29,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,518.64 : 84,760.32 = 19,574 : x
  2. Step 2: Convert to fraction form
    56,518.64/84,760.32 = 19,574/x
  3. Step 3: Cross multiply
    56,518.64x = 84,760.32 × 19,574
  4. Step 4: Simplify right side
    56,518.64x = 1,659,098,503.68
  5. Step 5: Solve for x
    x = 1,659,098,503.68/56,518.64
  6. Step 6: Final answer
    x = 29,354.89

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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.