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Finding the Fourth Proportional to 9,893, 13,653.30 and 5,477

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Solution

The fourth proportional to 9,893, 13,653.30 and 5,477 is: 7,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893 : 13,653.30 = 5,477 : x
  2. Step 2: Convert to fraction form
    9,893/13,653.30 = 5,477/x
  3. Step 3: Cross multiply
    9,893x = 13,653.30 × 5,477
  4. Step 4: Simplify right side
    9,893x = 74,779,124.10
  5. Step 5: Solve for x
    x = 74,779,124.10/9,893
  6. Step 6: Final answer
    x = 7,558.79

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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.