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Finding the Fourth Proportional to 1,547.92, 2,135.74 and 918.41

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Solution

The fourth proportional to 1,547.92, 2,135.74 and 918.41 is: 1,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.92 : 2,135.74 = 918.41 : x
  2. Step 2: Convert to fraction form
    1,547.92/2,135.74 = 918.41/x
  3. Step 3: Cross multiply
    1,547.92x = 2,135.74 × 918.41
  4. Step 4: Simplify right side
    1,547.92x = 1,961,484.97
  5. Step 5: Solve for x
    x = 1,961,484.97/1,547.92
  6. Step 6: Final answer
    x = 1,267.17

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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.