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Finding the Fourth Proportional to 9,710, 14,563.76 and 3,135.50

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Solution

The fourth proportional to 9,710, 14,563.76 and 3,135.50 is: 4,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710 : 14,563.76 = 3,135.50 : x
  2. Step 2: Convert to fraction form
    9,710/14,563.76 = 3,135.50/x
  3. Step 3: Cross multiply
    9,710x = 14,563.76 × 3,135.50
  4. Step 4: Simplify right side
    9,710x = 45,664,669.48
  5. Step 5: Solve for x
    x = 45,664,669.48/9,710
  6. Step 6: Final answer
    x = 4,702.85

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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.