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Finding the Fourth Proportional to 15,907.20, 21,942.12 and 10,240.08

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Solution

The fourth proportional to 15,907.20, 21,942.12 and 10,240.08 is: 14,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.20 : 21,942.12 = 10,240.08 : x
  2. Step 2: Convert to fraction form
    15,907.20/21,942.12 = 10,240.08/x
  3. Step 3: Cross multiply
    15,907.20x = 21,942.12 × 10,240.08
  4. Step 4: Simplify right side
    15,907.20x = 224,689,064.17
  5. Step 5: Solve for x
    x = 224,689,064.17/15,907.20
  6. Step 6: Final answer
    x = 14,124.99

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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.