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Finding the Fourth Proportional to 21,012.60, 31,518.88 and 5,429

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Solution

The fourth proportional to 21,012.60, 31,518.88 and 5,429 is: 8,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.60 : 31,518.88 = 5,429 : x
  2. Step 2: Convert to fraction form
    21,012.60/31,518.88 = 5,429/x
  3. Step 3: Cross multiply
    21,012.60x = 31,518.88 × 5,429
  4. Step 4: Simplify right side
    21,012.60x = 171,115,999.52
  5. Step 5: Solve for x
    x = 171,115,999.52/21,012.60
  6. Step 6: Final answer
    x = 8,143.49

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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.