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Finding the Fourth Proportional to 1,476, 2,036.88 and 917.52

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Solution

The fourth proportional to 1,476, 2,036.88 and 917.52 is: 1,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476 : 2,036.88 = 917.52 : x
  2. Step 2: Convert to fraction form
    1,476/2,036.88 = 917.52/x
  3. Step 3: Cross multiply
    1,476x = 2,036.88 × 917.52
  4. Step 4: Simplify right side
    1,476x = 1,868,878.14
  5. Step 5: Solve for x
    x = 1,868,878.14/1,476
  6. Step 6: Final answer
    x = 1,266.18

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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.