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Finding the Fourth Proportional to 21,235.12, 31,852.56 and 7,384

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Solution

The fourth proportional to 21,235.12, 31,852.56 and 7,384 is: 11,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.12 : 31,852.56 = 7,384 : x
  2. Step 2: Convert to fraction form
    21,235.12/31,852.56 = 7,384/x
  3. Step 3: Cross multiply
    21,235.12x = 31,852.56 × 7,384
  4. Step 4: Simplify right side
    21,235.12x = 235,199,303.04
  5. Step 5: Solve for x
    x = 235,199,303.04/21,235.12
  6. Step 6: Final answer
    x = 11,075.96

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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.