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Finding the Fourth Proportional to 10,454, 14,427.80 and 6,038

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Solution

The fourth proportional to 10,454, 14,427.80 and 6,038 is: 8,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454 : 14,427.80 = 6,038 : x
  2. Step 2: Convert to fraction form
    10,454/14,427.80 = 6,038/x
  3. Step 3: Cross multiply
    10,454x = 14,427.80 × 6,038
  4. Step 4: Simplify right side
    10,454x = 87,115,056.40
  5. Step 5: Solve for x
    x = 87,115,056.40/10,454
  6. Step 6: Final answer
    x = 8,333.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.