Home / 1,547.65-2,134.88-917.78

Finding the Fourth Proportional to 1,547.65, 2,134.88 and 917.78

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Solution

The fourth proportional to 1,547.65, 2,134.88 and 917.78 is: 1,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.65 : 2,134.88 = 917.78 : x
  2. Step 2: Convert to fraction form
    1,547.65/2,134.88 = 917.78/x
  3. Step 3: Cross multiply
    1,547.65x = 2,134.88 × 917.78
  4. Step 4: Simplify right side
    1,547.65x = 1,959,334.90
  5. Step 5: Solve for x
    x = 1,959,334.90/1,547.65
  6. Step 6: Final answer
    x = 1,266.01

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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.