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Finding the Fourth Proportional to 1,567.71, 2,351.55 and 951.59

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Solution

The fourth proportional to 1,567.71, 2,351.55 and 951.59 is: 1,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.71 : 2,351.55 = 951.59 : x
  2. Step 2: Convert to fraction form
    1,567.71/2,351.55 = 951.59/x
  3. Step 3: Cross multiply
    1,567.71x = 2,351.55 × 951.59
  4. Step 4: Simplify right side
    1,567.71x = 2,237,699.71
  5. Step 5: Solve for x
    x = 2,237,699.71/1,567.71
  6. Step 6: Final answer
    x = 1,427.37

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1.5x scale

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.