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Finding the Fourth Proportional to 6,871.59, 9,485.10 and 4,887.90

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Solution

The fourth proportional to 6,871.59, 9,485.10 and 4,887.90 is: 6,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.59 : 9,485.10 = 4,887.90 : x
  2. Step 2: Convert to fraction form
    6,871.59/9,485.10 = 4,887.90/x
  3. Step 3: Cross multiply
    6,871.59x = 9,485.10 × 4,887.90
  4. Step 4: Simplify right side
    6,871.59x = 46,362,220.29
  5. Step 5: Solve for x
    x = 46,362,220.29/6,871.59
  6. Step 6: Final answer
    x = 6,746.94

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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.