Home / 1,345.16-1,856.07-821.09

Finding the Fourth Proportional to 1,345.16, 1,856.07 and 821.09

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Solution

The fourth proportional to 1,345.16, 1,856.07 and 821.09 is: 1,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.16 : 1,856.07 = 821.09 : x
  2. Step 2: Convert to fraction form
    1,345.16/1,856.07 = 821.09/x
  3. Step 3: Cross multiply
    1,345.16x = 1,856.07 × 821.09
  4. Step 4: Simplify right side
    1,345.16x = 1,523,991.24
  5. Step 5: Solve for x
    x = 1,523,991.24/1,345.16
  6. Step 6: Final answer
    x = 1,132.95

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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.