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Finding the Fourth Proportional to 1,567.62, 2,162.94 and 977.94

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Solution

The fourth proportional to 1,567.62, 2,162.94 and 977.94 is: 1,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.62 : 2,162.94 = 977.94 : x
  2. Step 2: Convert to fraction form
    1,567.62/2,162.94 = 977.94/x
  3. Step 3: Cross multiply
    1,567.62x = 2,162.94 × 977.94
  4. Step 4: Simplify right side
    1,567.62x = 2,115,225.54
  5. Step 5: Solve for x
    x = 2,115,225.54/1,567.62
  6. Step 6: Final answer
    x = 1,349.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.