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Finding the Fourth Proportional to 6,400.20, 9,607.64 and 6,035.72

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Solution

The fourth proportional to 6,400.20, 9,607.64 and 6,035.72 is: 9,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.20 : 9,607.64 = 6,035.72 : x
  2. Step 2: Convert to fraction form
    6,400.20/9,607.64 = 6,035.72/x
  3. Step 3: Cross multiply
    6,400.20x = 9,607.64 × 6,035.72
  4. Step 4: Simplify right side
    6,400.20x = 57,989,024.90
  5. Step 5: Solve for x
    x = 57,989,024.90/6,400.20
  6. Step 6: Final answer
    x = 9,060.50

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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.