Home / 1,646.42-2,272.02-947.78

Finding the Fourth Proportional to 1,646.42, 2,272.02 and 947.78

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Solution

The fourth proportional to 1,646.42, 2,272.02 and 947.78 is: 1,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.42 : 2,272.02 = 947.78 : x
  2. Step 2: Convert to fraction form
    1,646.42/2,272.02 = 947.78/x
  3. Step 3: Cross multiply
    1,646.42x = 2,272.02 × 947.78
  4. Step 4: Simplify right side
    1,646.42x = 2,153,375.12
  5. Step 5: Solve for x
    x = 2,153,375.12/1,646.42
  6. Step 6: Final answer
    x = 1,307.91

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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.