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Finding the Fourth Proportional to 6,507, 9,761.85 and 2,124.90

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Solution

The fourth proportional to 6,507, 9,761.85 and 2,124.90 is: 3,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507 : 9,761.85 = 2,124.90 : x
  2. Step 2: Convert to fraction form
    6,507/9,761.85 = 2,124.90/x
  3. Step 3: Cross multiply
    6,507x = 9,761.85 × 2,124.90
  4. Step 4: Simplify right side
    6,507x = 20,742,955.07
  5. Step 5: Solve for x
    x = 20,742,955.07/6,507
  6. Step 6: Final answer
    x = 3,187.79

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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.