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Finding the Fourth Proportional to 1,457.86, 2,183.51 and 840.10

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Solution

The fourth proportional to 1,457.86, 2,183.51 and 840.10 is: 1,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.86 : 2,183.51 = 840.10 : x
  2. Step 2: Convert to fraction form
    1,457.86/2,183.51 = 840.10/x
  3. Step 3: Cross multiply
    1,457.86x = 2,183.51 × 840.10
  4. Step 4: Simplify right side
    1,457.86x = 1,834,366.75
  5. Step 5: Solve for x
    x = 1,834,366.75/1,457.86
  6. Step 6: Final answer
    x = 1,258.26

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.