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Finding the Fourth Proportional to 51,216.57, 70,679.16 and 28,557

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Solution

The fourth proportional to 51,216.57, 70,679.16 and 28,557 is: 39,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,216.57 : 70,679.16 = 28,557 : x
  2. Step 2: Convert to fraction form
    51,216.57/70,679.16 = 28,557/x
  3. Step 3: Cross multiply
    51,216.57x = 70,679.16 × 28,557
  4. Step 4: Simplify right side
    51,216.57x = 2,018,384,772.12
  5. Step 5: Solve for x
    x = 2,018,384,772.12/51,216.57
  6. Step 6: Final answer
    x = 39,408.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.