Home / 1,578.02-2,176.76-914.63

Finding the Fourth Proportional to 1,578.02, 2,176.76 and 914.63

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Solution

The fourth proportional to 1,578.02, 2,176.76 and 914.63 is: 1,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.02 : 2,176.76 = 914.63 : x
  2. Step 2: Convert to fraction form
    1,578.02/2,176.76 = 914.63/x
  3. Step 3: Cross multiply
    1,578.02x = 2,176.76 × 914.63
  4. Step 4: Simplify right side
    1,578.02x = 1,990,921.40
  5. Step 5: Solve for x
    x = 1,990,921.40/1,578.02
  6. Step 6: Final answer
    x = 1,261.66

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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.