Home / 1,547.64-2,134.88-1,105.78

Finding the Fourth Proportional to 1,547.64, 2,134.88 and 1,105.78

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Solution

The fourth proportional to 1,547.64, 2,134.88 and 1,105.78 is: 1,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.64 : 2,134.88 = 1,105.78 : x
  2. Step 2: Convert to fraction form
    1,547.64/2,134.88 = 1,105.78/x
  3. Step 3: Cross multiply
    1,547.64x = 2,134.88 × 1,105.78
  4. Step 4: Simplify right side
    1,547.64x = 2,360,707.61
  5. Step 5: Solve for x
    x = 2,360,707.61/1,547.64
  6. Step 6: Final answer
    x = 1,525.36

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1.5x scale

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.