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Finding the Fourth Proportional to 1,423.00, 2,130.93 and 901.43

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Solution

The fourth proportional to 1,423.00, 2,130.93 and 901.43 is: 1,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.00 : 2,130.93 = 901.43 : x
  2. Step 2: Convert to fraction form
    1,423.00/2,130.93 = 901.43/x
  3. Step 3: Cross multiply
    1,423.00x = 2,130.93 × 901.43
  4. Step 4: Simplify right side
    1,423.00x = 1,920,884.23
  5. Step 5: Solve for x
    x = 1,920,884.23/1,423.00
  6. Step 6: Final answer
    x = 1,349.89

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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.