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Finding the Fourth Proportional to 6,322.50, 9,483.71 and 1,642.50

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Solution

The fourth proportional to 6,322.50, 9,483.71 and 1,642.50 is: 2,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.50 : 9,483.71 = 1,642.50 : x
  2. Step 2: Convert to fraction form
    6,322.50/9,483.71 = 1,642.50/x
  3. Step 3: Cross multiply
    6,322.50x = 9,483.71 × 1,642.50
  4. Step 4: Simplify right side
    6,322.50x = 15,576,985.46
  5. Step 5: Solve for x
    x = 15,576,985.46/6,322.50
  6. Step 6: Final answer
    x = 2,463.74

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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.