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Finding the Fourth Proportional to 7,187.42, 9,917.95 and 5,300.03

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Solution

The fourth proportional to 7,187.42, 9,917.95 and 5,300.03 is: 7,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.42 : 9,917.95 = 5,300.03 : x
  2. Step 2: Convert to fraction form
    7,187.42/9,917.95 = 5,300.03/x
  3. Step 3: Cross multiply
    7,187.42x = 9,917.95 × 5,300.03
  4. Step 4: Simplify right side
    7,187.42x = 52,565,356.45
  5. Step 5: Solve for x
    x = 52,565,356.45/7,187.42
  6. Step 6: Final answer
    x = 7,313.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.