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Finding the Fourth Proportional to 1,323.04, 1,981.52 and 1,029.01

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Solution

The fourth proportional to 1,323.04, 1,981.52 and 1,029.01 is: 1,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.04 : 1,981.52 = 1,029.01 : x
  2. Step 2: Convert to fraction form
    1,323.04/1,981.52 = 1,029.01/x
  3. Step 3: Cross multiply
    1,323.04x = 1,981.52 × 1,029.01
  4. Step 4: Simplify right side
    1,323.04x = 2,038,988.84
  5. Step 5: Solve for x
    x = 2,038,988.84/1,323.04
  6. Step 6: Final answer
    x = 1,541.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.