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Finding the Fourth Proportional to 4,753.05, 7,130.28 and 1,978.14

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Solution

The fourth proportional to 4,753.05, 7,130.28 and 1,978.14 is: 2,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.05 : 7,130.28 = 1,978.14 : x
  2. Step 2: Convert to fraction form
    4,753.05/7,130.28 = 1,978.14/x
  3. Step 3: Cross multiply
    4,753.05x = 7,130.28 × 1,978.14
  4. Step 4: Simplify right side
    4,753.05x = 14,104,675.00
  5. Step 5: Solve for x
    x = 14,104,675.00/4,753.05
  6. Step 6: Final answer
    x = 2,967.50

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1.5x scale

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.