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Finding the Fourth Proportional to 7,499, 11,237.56 and 4,218.50

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Solution

The fourth proportional to 7,499, 11,237.56 and 4,218.50 is: 6,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499 : 11,237.56 = 4,218.50 : x
  2. Step 2: Convert to fraction form
    7,499/11,237.56 = 4,218.50/x
  3. Step 3: Cross multiply
    7,499x = 11,237.56 × 4,218.50
  4. Step 4: Simplify right side
    7,499x = 47,405,646.86
  5. Step 5: Solve for x
    x = 47,405,646.86/7,499
  6. Step 6: Final answer
    x = 6,321.60

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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.