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Finding the Fourth Proportional to 1,312.68, 1,960.71 and 1,021.08

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Solution

The fourth proportional to 1,312.68, 1,960.71 and 1,021.08 is: 1,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.68 : 1,960.71 = 1,021.08 : x
  2. Step 2: Convert to fraction form
    1,312.68/1,960.71 = 1,021.08/x
  3. Step 3: Cross multiply
    1,312.68x = 1,960.71 × 1,021.08
  4. Step 4: Simplify right side
    1,312.68x = 2,002,041.77
  5. Step 5: Solve for x
    x = 2,002,041.77/1,312.68
  6. Step 6: Final answer
    x = 1,525.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.