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Finding the Fourth Proportional to 6,510.14, 8,978.58 and 4,270.30

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Solution

The fourth proportional to 6,510.14, 8,978.58 and 4,270.30 is: 5,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.14 : 8,978.58 = 4,270.30 : x
  2. Step 2: Convert to fraction form
    6,510.14/8,978.58 = 4,270.30/x
  3. Step 3: Cross multiply
    6,510.14x = 8,978.58 × 4,270.30
  4. Step 4: Simplify right side
    6,510.14x = 38,341,230.17
  5. Step 5: Solve for x
    x = 38,341,230.17/6,510.14
  6. Step 6: Final answer
    x = 5,889.46

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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.