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Finding the Fourth Proportional to 5,048.12, 7,572.10 and 1,538.12

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Solution

The fourth proportional to 5,048.12, 7,572.10 and 1,538.12 is: 2,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.12 : 7,572.10 = 1,538.12 : x
  2. Step 2: Convert to fraction form
    5,048.12/7,572.10 = 1,538.12/x
  3. Step 3: Cross multiply
    5,048.12x = 7,572.10 × 1,538.12
  4. Step 4: Simplify right side
    5,048.12x = 11,646,798.45
  5. Step 5: Solve for x
    x = 11,646,798.45/5,048.12
  6. Step 6: Final answer
    x = 2,307.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.