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Finding the Fourth Proportional to 1,567.71, 2,163.86 and 977.89

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Solution

The fourth proportional to 1,567.71, 2,163.86 and 977.89 is: 1,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.71 : 2,163.86 = 977.89 : x
  2. Step 2: Convert to fraction form
    1,567.71/2,163.86 = 977.89/x
  3. Step 3: Cross multiply
    1,567.71x = 2,163.86 × 977.89
  4. Step 4: Simplify right side
    1,567.71x = 2,116,017.06
  5. Step 5: Solve for x
    x = 2,116,017.06/1,567.71
  6. Step 6: Final answer
    x = 1,349.75

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Why These Related Problems?

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