Home / 1,547.61-2,135.30-917.87

Finding the Fourth Proportional to 1,547.61, 2,135.30 and 917.87

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Solution

The fourth proportional to 1,547.61, 2,135.30 and 917.87 is: 1,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.61 : 2,135.30 = 917.87 : x
  2. Step 2: Convert to fraction form
    1,547.61/2,135.30 = 917.87/x
  3. Step 3: Cross multiply
    1,547.61x = 2,135.30 × 917.87
  4. Step 4: Simplify right side
    1,547.61x = 1,959,912.55
  5. Step 5: Solve for x
    x = 1,959,912.55/1,547.61
  6. Step 6: Final answer
    x = 1,266.42

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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.