Home / 1,345.16-1,856.40-821.36

Finding the Fourth Proportional to 1,345.16, 1,856.40 and 821.36

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Solution

The fourth proportional to 1,345.16, 1,856.40 and 821.36 is: 1,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.16 : 1,856.40 = 821.36 : x
  2. Step 2: Convert to fraction form
    1,345.16/1,856.40 = 821.36/x
  3. Step 3: Cross multiply
    1,345.16x = 1,856.40 × 821.36
  4. Step 4: Simplify right side
    1,345.16x = 1,524,772.70
  5. Step 5: Solve for x
    x = 1,524,772.70/1,345.16
  6. Step 6: Final answer
    x = 1,133.53

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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.