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Finding the Fourth Proportional to 1,567.94, 2,164.12 and 1,148.90

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Solution

The fourth proportional to 1,567.94, 2,164.12 and 1,148.90 is: 1,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.94 : 2,164.12 = 1,148.90 : x
  2. Step 2: Convert to fraction form
    1,567.94/2,164.12 = 1,148.90/x
  3. Step 3: Cross multiply
    1,567.94x = 2,164.12 × 1,148.90
  4. Step 4: Simplify right side
    1,567.94x = 2,486,343.78
  5. Step 5: Solve for x
    x = 2,486,343.78/1,567.94
  6. Step 6: Final answer
    x = 1,585.74

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1.5x scale

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.