Home / 1,578.24-2,178.30-915.12

Finding the Fourth Proportional to 1,578.24, 2,178.30 and 915.12

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Solution

The fourth proportional to 1,578.24, 2,178.30 and 915.12 is: 1,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.24 : 2,178.30 = 915.12 : x
  2. Step 2: Convert to fraction form
    1,578.24/2,178.30 = 915.12/x
  3. Step 3: Cross multiply
    1,578.24x = 2,178.30 × 915.12
  4. Step 4: Simplify right side
    1,578.24x = 1,993,405.90
  5. Step 5: Solve for x
    x = 1,993,405.90/1,578.24
  6. Step 6: Final answer
    x = 1,263.06

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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.