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Finding the Fourth Proportional to 1,753.89, 2,420.28 and 1,007.30

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Solution

The fourth proportional to 1,753.89, 2,420.28 and 1,007.30 is: 1,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.89 : 2,420.28 = 1,007.30 : x
  2. Step 2: Convert to fraction form
    1,753.89/2,420.28 = 1,007.30/x
  3. Step 3: Cross multiply
    1,753.89x = 2,420.28 × 1,007.30
  4. Step 4: Simplify right side
    1,753.89x = 2,437,935.94
  5. Step 5: Solve for x
    x = 2,437,935.94/1,753.89
  6. Step 6: Final answer
    x = 1,390.02

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1.5x scale

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.