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Finding the Fourth Proportional to 10,907.61, 16,328.61 and 9,868.11

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Solution

The fourth proportional to 10,907.61, 16,328.61 and 9,868.11 is: 14,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.61 : 16,328.61 = 9,868.11 : x
  2. Step 2: Convert to fraction form
    10,907.61/16,328.61 = 9,868.11/x
  3. Step 3: Cross multiply
    10,907.61x = 16,328.61 × 9,868.11
  4. Step 4: Simplify right side
    10,907.61x = 161,132,519.63
  5. Step 5: Solve for x
    x = 161,132,519.63/10,907.61
  6. Step 6: Final answer
    x = 14,772.49

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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.