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Finding the Fourth Proportional to 4,655.36, 6,981.86 and 1,881.20

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Solution

The fourth proportional to 4,655.36, 6,981.86 and 1,881.20 is: 2,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.36 : 6,981.86 = 1,881.20 : x
  2. Step 2: Convert to fraction form
    4,655.36/6,981.86 = 1,881.20/x
  3. Step 3: Cross multiply
    4,655.36x = 6,981.86 × 1,881.20
  4. Step 4: Simplify right side
    4,655.36x = 13,134,230.72
  5. Step 5: Solve for x
    x = 13,134,230.72/4,655.36
  6. Step 6: Final answer
    x = 2,821.32

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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.