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Finding the Fourth Proportional to 6,485.76, 9,710.28 and 5,870.64

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Solution

The fourth proportional to 6,485.76, 9,710.28 and 5,870.64 is: 8,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.76 : 9,710.28 = 5,870.64 : x
  2. Step 2: Convert to fraction form
    6,485.76/9,710.28 = 5,870.64/x
  3. Step 3: Cross multiply
    6,485.76x = 9,710.28 × 5,870.64
  4. Step 4: Simplify right side
    6,485.76x = 57,005,558.18
  5. Step 5: Solve for x
    x = 57,005,558.18/6,485.76
  6. Step 6: Final answer
    x = 8,789.34

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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.