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Finding the Fourth Proportional to 9,811.52, 14,714.40 and 8,075.84

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Solution

The fourth proportional to 9,811.52, 14,714.40 and 8,075.84 is: 12,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.52 : 14,714.40 = 8,075.84 : x
  2. Step 2: Convert to fraction form
    9,811.52/14,714.40 = 8,075.84/x
  3. Step 3: Cross multiply
    9,811.52x = 14,714.40 × 8,075.84
  4. Step 4: Simplify right side
    9,811.52x = 118,831,140.10
  5. Step 5: Solve for x
    x = 118,831,140.10/9,811.52
  6. Step 6: Final answer
    x = 12,111.39

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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.