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Finding the Fourth Proportional to 9,574.76, 14,362.32 and 3,000.80

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Solution

The fourth proportional to 9,574.76, 14,362.32 and 3,000.80 is: 4,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.76 : 14,362.32 = 3,000.80 : x
  2. Step 2: Convert to fraction form
    9,574.76/14,362.32 = 3,000.80/x
  3. Step 3: Cross multiply
    9,574.76x = 14,362.32 × 3,000.80
  4. Step 4: Simplify right side
    9,574.76x = 43,098,449.86
  5. Step 5: Solve for x
    x = 43,098,449.86/9,574.76
  6. Step 6: Final answer
    x = 4,501.26

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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.