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Finding the Fourth Proportional to 1,547.84, 2,136.02 and 849.21

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Solution

The fourth proportional to 1,547.84, 2,136.02 and 849.21 is: 1,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.84 : 2,136.02 = 849.21 : x
  2. Step 2: Convert to fraction form
    1,547.84/2,136.02 = 849.21/x
  3. Step 3: Cross multiply
    1,547.84x = 2,136.02 × 849.21
  4. Step 4: Simplify right side
    1,547.84x = 1,813,925.30
  5. Step 5: Solve for x
    x = 1,813,925.30/1,547.84
  6. Step 6: Final answer
    x = 1,171.91

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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.