Home / 1,602.36-2,214.24-1,547.64

Finding the Fourth Proportional to 1,602.36, 2,214.24 and 1,547.64

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Solution

The fourth proportional to 1,602.36, 2,214.24 and 1,547.64 is: 2,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.36 : 2,214.24 = 1,547.64 : x
  2. Step 2: Convert to fraction form
    1,602.36/2,214.24 = 1,547.64/x
  3. Step 3: Cross multiply
    1,602.36x = 2,214.24 × 1,547.64
  4. Step 4: Simplify right side
    1,602.36x = 3,426,846.39
  5. Step 5: Solve for x
    x = 3,426,846.39/1,602.36
  6. Step 6: Final answer
    x = 2,138.62

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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.