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Finding the Fourth Proportional to 8,752.64, 12,075 and 5,212.40

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Solution

The fourth proportional to 8,752.64, 12,075 and 5,212.40 is: 7,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752.64 : 12,075 = 5,212.40 : x
  2. Step 2: Convert to fraction form
    8,752.64/12,075 = 5,212.40/x
  3. Step 3: Cross multiply
    8,752.64x = 12,075 × 5,212.40
  4. Step 4: Simplify right side
    8,752.64x = 62,939,730.00
  5. Step 5: Solve for x
    x = 62,939,730.00/8,752.64
  6. Step 6: Final answer
    x = 7,190.94

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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.