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Finding the Fourth Proportional to 9,978.40, 14,966.40 and 4,134.40

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Solution

The fourth proportional to 9,978.40, 14,966.40 and 4,134.40 is: 6,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.40 : 14,966.40 = 4,134.40 : x
  2. Step 2: Convert to fraction form
    9,978.40/14,966.40 = 4,134.40/x
  3. Step 3: Cross multiply
    9,978.40x = 14,966.40 × 4,134.40
  4. Step 4: Simplify right side
    9,978.40x = 61,877,084.16
  5. Step 5: Solve for x
    x = 61,877,084.16/9,978.40
  6. Step 6: Final answer
    x = 6,201.10

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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.