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Finding the Fourth Proportional to 9,846, 13,587.48 and 5,430

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Solution

The fourth proportional to 9,846, 13,587.48 and 5,430 is: 7,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 13,587.48 = 5,430 : x
  2. Step 2: Convert to fraction form
    9,846/13,587.48 = 5,430/x
  3. Step 3: Cross multiply
    9,846x = 13,587.48 × 5,430
  4. Step 4: Simplify right side
    9,846x = 73,780,016.40
  5. Step 5: Solve for x
    x = 73,780,016.40/9,846
  6. Step 6: Final answer
    x = 7,493.40

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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.