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Finding the Fourth Proportional to 12,075.74, 16,664.95 and 7,039.15

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Solution

The fourth proportional to 12,075.74, 16,664.95 and 7,039.15 is: 9,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.74 : 16,664.95 = 7,039.15 : x
  2. Step 2: Convert to fraction form
    12,075.74/16,664.95 = 7,039.15/x
  3. Step 3: Cross multiply
    12,075.74x = 16,664.95 × 7,039.15
  4. Step 4: Simplify right side
    12,075.74x = 117,307,082.79
  5. Step 5: Solve for x
    x = 117,307,082.79/12,075.74
  6. Step 6: Final answer
    x = 9,714.28

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1.5x scale

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.