Home / 1,577.31-2,176.32-947.62

Finding the Fourth Proportional to 1,577.31, 2,176.32 and 947.62

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Solution

The fourth proportional to 1,577.31, 2,176.32 and 947.62 is: 1,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.31 : 2,176.32 = 947.62 : x
  2. Step 2: Convert to fraction form
    1,577.31/2,176.32 = 947.62/x
  3. Step 3: Cross multiply
    1,577.31x = 2,176.32 × 947.62
  4. Step 4: Simplify right side
    1,577.31x = 2,062,324.36
  5. Step 5: Solve for x
    x = 2,062,324.36/1,577.31
  6. Step 6: Final answer
    x = 1,307.49

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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.