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Finding the Fourth Proportional to 9,150.95, 13,710.21 and 4,210.22

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Solution

The fourth proportional to 9,150.95, 13,710.21 and 4,210.22 is: 6,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.95 : 13,710.21 = 4,210.22 : x
  2. Step 2: Convert to fraction form
    9,150.95/13,710.21 = 4,210.22/x
  3. Step 3: Cross multiply
    9,150.95x = 13,710.21 × 4,210.22
  4. Step 4: Simplify right side
    9,150.95x = 57,723,000.35
  5. Step 5: Solve for x
    x = 57,723,000.35/9,150.95
  6. Step 6: Final answer
    x = 6,307.87

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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.