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Finding the Fourth Proportional to 1,345.92, 1,857.12 and 786.36

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Solution

The fourth proportional to 1,345.92, 1,857.12 and 786.36 is: 1,085.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.92 : 1,857.12 = 786.36 : x
  2. Step 2: Convert to fraction form
    1,345.92/1,857.12 = 786.36/x
  3. Step 3: Cross multiply
    1,345.92x = 1,857.12 × 786.36
  4. Step 4: Simplify right side
    1,345.92x = 1,460,364.88
  5. Step 5: Solve for x
    x = 1,460,364.88/1,345.92
  6. Step 6: Final answer
    x = 1,085.03

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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.