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Finding the Fourth Proportional to 9,487.12, 14,210.14 and 6,190.20

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Solution

The fourth proportional to 9,487.12, 14,210.14 and 6,190.20 is: 9,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.12 : 14,210.14 = 6,190.20 : x
  2. Step 2: Convert to fraction form
    9,487.12/14,210.14 = 6,190.20/x
  3. Step 3: Cross multiply
    9,487.12x = 14,210.14 × 6,190.20
  4. Step 4: Simplify right side
    9,487.12x = 87,963,608.63
  5. Step 5: Solve for x
    x = 87,963,608.63/9,487.12
  6. Step 6: Final answer
    x = 9,271.90

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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.