Home / 1,577.26-2,176.36-947.69

Finding the Fourth Proportional to 1,577.26, 2,176.36 and 947.69

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Solution

The fourth proportional to 1,577.26, 2,176.36 and 947.69 is: 1,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.26 : 2,176.36 = 947.69 : x
  2. Step 2: Convert to fraction form
    1,577.26/2,176.36 = 947.69/x
  3. Step 3: Cross multiply
    1,577.26x = 2,176.36 × 947.69
  4. Step 4: Simplify right side
    1,577.26x = 2,062,514.61
  5. Step 5: Solve for x
    x = 2,062,514.61/1,577.26
  6. Step 6: Final answer
    x = 1,307.66

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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.