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Finding the Fourth Proportional to 21,507, 29,679.66 and 12,075.57

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Solution

The fourth proportional to 21,507, 29,679.66 and 12,075.57 is: 16,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507 : 29,679.66 = 12,075.57 : x
  2. Step 2: Convert to fraction form
    21,507/29,679.66 = 12,075.57/x
  3. Step 3: Cross multiply
    21,507x = 29,679.66 × 12,075.57
  4. Step 4: Simplify right side
    21,507x = 358,398,811.91
  5. Step 5: Solve for x
    x = 358,398,811.91/21,507
  6. Step 6: Final answer
    x = 16,664.29

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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.