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Finding the Fourth Proportional to 14,075.88, 21,084 and 9,130.80

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Solution

The fourth proportional to 14,075.88, 21,084 and 9,130.80 is: 13,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.88 : 21,084 = 9,130.80 : x
  2. Step 2: Convert to fraction form
    14,075.88/21,084 = 9,130.80/x
  3. Step 3: Cross multiply
    14,075.88x = 21,084 × 9,130.80
  4. Step 4: Simplify right side
    14,075.88x = 192,513,787.20
  5. Step 5: Solve for x
    x = 192,513,787.20/14,075.88
  6. Step 6: Final answer
    x = 13,676.86

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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.