Home / 1,533.42-2,115.91-972.90

Finding the Fourth Proportional to 1,533.42, 2,115.91 and 972.90

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Solution

The fourth proportional to 1,533.42, 2,115.91 and 972.90 is: 1,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.42 : 2,115.91 = 972.90 : x
  2. Step 2: Convert to fraction form
    1,533.42/2,115.91 = 972.90/x
  3. Step 3: Cross multiply
    1,533.42x = 2,115.91 × 972.90
  4. Step 4: Simplify right side
    1,533.42x = 2,058,568.84
  5. Step 5: Solve for x
    x = 2,058,568.84/1,533.42
  6. Step 6: Final answer
    x = 1,342.47

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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.