Home / 1,356.42-2,031.60-1,046

Finding the Fourth Proportional to 1,356.42, 2,031.60 and 1,046

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Solution

The fourth proportional to 1,356.42, 2,031.60 and 1,046 is: 1,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.42 : 2,031.60 = 1,046 : x
  2. Step 2: Convert to fraction form
    1,356.42/2,031.60 = 1,046/x
  3. Step 3: Cross multiply
    1,356.42x = 2,031.60 × 1,046
  4. Step 4: Simplify right side
    1,356.42x = 2,125,053.60
  5. Step 5: Solve for x
    x = 2,125,053.60/1,356.42
  6. Step 6: Final answer
    x = 1,566.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.