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Finding the Fourth Proportional to 7,572, 11,354.42 and 3,187.02

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Solution

The fourth proportional to 7,572, 11,354.42 and 3,187.02 is: 4,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572 : 11,354.42 = 3,187.02 : x
  2. Step 2: Convert to fraction form
    7,572/11,354.42 = 3,187.02/x
  3. Step 3: Cross multiply
    7,572x = 11,354.42 × 3,187.02
  4. Step 4: Simplify right side
    7,572x = 36,186,763.63
  5. Step 5: Solve for x
    x = 36,186,763.63/7,572
  6. Step 6: Final answer
    x = 4,779.02

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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.