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Finding the Fourth Proportional to 1,810.64, 2,495.34 and 1,478

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Solution

The fourth proportional to 1,810.64, 2,495.34 and 1,478 is: 2,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.64 : 2,495.34 = 1,478 : x
  2. Step 2: Convert to fraction form
    1,810.64/2,495.34 = 1,478/x
  3. Step 3: Cross multiply
    1,810.64x = 2,495.34 × 1,478
  4. Step 4: Simplify right side
    1,810.64x = 3,688,112.52
  5. Step 5: Solve for x
    x = 3,688,112.52/1,810.64
  6. Step 6: Final answer
    x = 2,036.91

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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.