Home / 7,457.28-11,184.64-1,984

Finding the Fourth Proportional to 7,457.28, 11,184.64 and 1,984

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Solution

The fourth proportional to 7,457.28, 11,184.64 and 1,984 is: 2,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.28 : 11,184.64 = 1,984 : x
  2. Step 2: Convert to fraction form
    7,457.28/11,184.64 = 1,984/x
  3. Step 3: Cross multiply
    7,457.28x = 11,184.64 × 1,984
  4. Step 4: Simplify right side
    7,457.28x = 22,190,325.76
  5. Step 5: Solve for x
    x = 22,190,325.76/7,457.28
  6. Step 6: Final answer
    x = 2,975.66

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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.