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Finding the Fourth Proportional to 1,312.33, 1,810.21 and 1,032.11

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Solution

The fourth proportional to 1,312.33, 1,810.21 and 1,032.11 is: 1,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.33 : 1,810.21 = 1,032.11 : x
  2. Step 2: Convert to fraction form
    1,312.33/1,810.21 = 1,032.11/x
  3. Step 3: Cross multiply
    1,312.33x = 1,810.21 × 1,032.11
  4. Step 4: Simplify right side
    1,312.33x = 1,868,335.84
  5. Step 5: Solve for x
    x = 1,868,335.84/1,312.33
  6. Step 6: Final answer
    x = 1,423.68

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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.