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Finding the Fourth Proportional to 1,547.09, 2,134.96 and 848.48

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Solution

The fourth proportional to 1,547.09, 2,134.96 and 848.48 is: 1,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.09 : 2,134.96 = 848.48 : x
  2. Step 2: Convert to fraction form
    1,547.09/2,134.96 = 848.48/x
  3. Step 3: Cross multiply
    1,547.09x = 2,134.96 × 848.48
  4. Step 4: Simplify right side
    1,547.09x = 1,811,458.06
  5. Step 5: Solve for x
    x = 1,811,458.06/1,547.09
  6. Step 6: Final answer
    x = 1,170.88

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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.