Home / 1,431.34-1,975.29-841.76

Finding the Fourth Proportional to 1,431.34, 1,975.29 and 841.76

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Solution

The fourth proportional to 1,431.34, 1,975.29 and 841.76 is: 1,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.34 : 1,975.29 = 841.76 : x
  2. Step 2: Convert to fraction form
    1,431.34/1,975.29 = 841.76/x
  3. Step 3: Cross multiply
    1,431.34x = 1,975.29 × 841.76
  4. Step 4: Simplify right side
    1,431.34x = 1,662,720.11
  5. Step 5: Solve for x
    x = 1,662,720.11/1,431.34
  6. Step 6: Final answer
    x = 1,161.65

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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.