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Finding the Fourth Proportional to 1,312.65, 1,810.80 and 1,218.86

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Solution

The fourth proportional to 1,312.65, 1,810.80 and 1,218.86 is: 1,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.65 : 1,810.80 = 1,218.86 : x
  2. Step 2: Convert to fraction form
    1,312.65/1,810.80 = 1,218.86/x
  3. Step 3: Cross multiply
    1,312.65x = 1,810.80 × 1,218.86
  4. Step 4: Simplify right side
    1,312.65x = 2,207,102.63
  5. Step 5: Solve for x
    x = 2,207,102.63/1,312.65
  6. Step 6: Final answer
    x = 1,681.41

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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.