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Finding the Fourth Proportional to 1,547.06, 2,135.09 and 883.92

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Solution

The fourth proportional to 1,547.06, 2,135.09 and 883.92 is: 1,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.06 : 2,135.09 = 883.92 : x
  2. Step 2: Convert to fraction form
    1,547.06/2,135.09 = 883.92/x
  3. Step 3: Cross multiply
    1,547.06x = 2,135.09 × 883.92
  4. Step 4: Simplify right side
    1,547.06x = 1,887,250.96
  5. Step 5: Solve for x
    x = 1,887,250.96/1,547.06
  6. Step 6: Final answer
    x = 1,219.89

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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.