Home / 1,532.37-2,114.86-869.43

Finding the Fourth Proportional to 1,532.37, 2,114.86 and 869.43

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Solution

The fourth proportional to 1,532.37, 2,114.86 and 869.43 is: 1,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.37 : 2,114.86 = 869.43 : x
  2. Step 2: Convert to fraction form
    1,532.37/2,114.86 = 869.43/x
  3. Step 3: Cross multiply
    1,532.37x = 2,114.86 × 869.43
  4. Step 4: Simplify right side
    1,532.37x = 1,838,730.12
  5. Step 5: Solve for x
    x = 1,838,730.12/1,532.37
  6. Step 6: Final answer
    x = 1,199.93

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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.