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Finding the Fourth Proportional to 1,547.22, 2,134.62 and 883.83

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Solution

The fourth proportional to 1,547.22, 2,134.62 and 883.83 is: 1,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.22 : 2,134.62 = 883.83 : x
  2. Step 2: Convert to fraction form
    1,547.22/2,134.62 = 883.83/x
  3. Step 3: Cross multiply
    1,547.22x = 2,134.62 × 883.83
  4. Step 4: Simplify right side
    1,547.22x = 1,886,641.19
  5. Step 5: Solve for x
    x = 1,886,641.19/1,547.22
  6. Step 6: Final answer
    x = 1,219.37

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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.