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Finding the Fourth Proportional to 1,547.12, 2,135.03 and 848.49

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Solution

The fourth proportional to 1,547.12, 2,135.03 and 848.49 is: 1,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.12 : 2,135.03 = 848.49 : x
  2. Step 2: Convert to fraction form
    1,547.12/2,135.03 = 848.49/x
  3. Step 3: Cross multiply
    1,547.12x = 2,135.03 × 848.49
  4. Step 4: Simplify right side
    1,547.12x = 1,811,547.36
  5. Step 5: Solve for x
    x = 1,811,547.36/1,547.12
  6. Step 6: Final answer
    x = 1,170.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.