Home / 1,561.70-2,152.64-1,057.40

Finding the Fourth Proportional to 1,561.70, 2,152.64 and 1,057.40

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Solution

The fourth proportional to 1,561.70, 2,152.64 and 1,057.40 is: 1,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.70 : 2,152.64 = 1,057.40 : x
  2. Step 2: Convert to fraction form
    1,561.70/2,152.64 = 1,057.40/x
  3. Step 3: Cross multiply
    1,561.70x = 2,152.64 × 1,057.40
  4. Step 4: Simplify right side
    1,561.70x = 2,276,193.42
  5. Step 5: Solve for x
    x = 2,276,193.42/1,561.70
  6. Step 6: Final answer
    x = 1,457.51

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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.