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Finding the Fourth Proportional to 9,154, 13,726.14 and 4,221.10

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Solution

The fourth proportional to 9,154, 13,726.14 and 4,221.10 is: 6,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154 : 13,726.14 = 4,221.10 : x
  2. Step 2: Convert to fraction form
    9,154/13,726.14 = 4,221.10/x
  3. Step 3: Cross multiply
    9,154x = 13,726.14 × 4,221.10
  4. Step 4: Simplify right side
    9,154x = 57,939,409.55
  5. Step 5: Solve for x
    x = 57,939,409.55/9,154
  6. Step 6: Final answer
    x = 6,329.41

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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.