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Finding the Fourth Proportional to 10,907.20, 16,328.40 and 10,266.40

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Solution

The fourth proportional to 10,907.20, 16,328.40 and 10,266.40 is: 15,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.20 : 16,328.40 = 10,266.40 : x
  2. Step 2: Convert to fraction form
    10,907.20/16,328.40 = 10,266.40/x
  3. Step 3: Cross multiply
    10,907.20x = 16,328.40 × 10,266.40
  4. Step 4: Simplify right side
    10,907.20x = 167,633,885.76
  5. Step 5: Solve for x
    x = 167,633,885.76/10,907.20
  6. Step 6: Final answer
    x = 15,369.10

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1.5x scale

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.