Home / 1,534.23-2,117.09-870.84

Finding the Fourth Proportional to 1,534.23, 2,117.09 and 870.84

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Solution

The fourth proportional to 1,534.23, 2,117.09 and 870.84 is: 1,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.23 : 2,117.09 = 870.84 : x
  2. Step 2: Convert to fraction form
    1,534.23/2,117.09 = 870.84/x
  3. Step 3: Cross multiply
    1,534.23x = 2,117.09 × 870.84
  4. Step 4: Simplify right side
    1,534.23x = 1,843,642.30
  5. Step 5: Solve for x
    x = 1,843,642.30/1,534.23
  6. Step 6: Final answer
    x = 1,201.67

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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.