Home / 1,578.90-2,178.87-916.13

Finding the Fourth Proportional to 1,578.90, 2,178.87 and 916.13

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Solution

The fourth proportional to 1,578.90, 2,178.87 and 916.13 is: 1,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.90 : 2,178.87 = 916.13 : x
  2. Step 2: Convert to fraction form
    1,578.90/2,178.87 = 916.13/x
  3. Step 3: Cross multiply
    1,578.90x = 2,178.87 × 916.13
  4. Step 4: Simplify right side
    1,578.90x = 1,996,128.17
  5. Step 5: Solve for x
    x = 1,996,128.17/1,578.90
  6. Step 6: Final answer
    x = 1,264.25

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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.