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Finding the Fourth Proportional to 8,670, 13,008.42 and 4,507.40

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Solution

The fourth proportional to 8,670, 13,008.42 and 4,507.40 is: 6,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670 : 13,008.42 = 4,507.40 : x
  2. Step 2: Convert to fraction form
    8,670/13,008.42 = 4,507.40/x
  3. Step 3: Cross multiply
    8,670x = 13,008.42 × 4,507.40
  4. Step 4: Simplify right side
    8,670x = 58,634,152.31
  5. Step 5: Solve for x
    x = 58,634,152.31/8,670
  6. Step 6: Final answer
    x = 6,762.88

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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.