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Finding the Fourth Proportional to 10,510.20, 14,466.06 and 9,905.40

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Solution

The fourth proportional to 10,510.20, 14,466.06 and 9,905.40 is: 13,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.20 : 14,466.06 = 9,905.40 : x
  2. Step 2: Convert to fraction form
    10,510.20/14,466.06 = 9,905.40/x
  3. Step 3: Cross multiply
    10,510.20x = 14,466.06 × 9,905.40
  4. Step 4: Simplify right side
    10,510.20x = 143,292,110.72
  5. Step 5: Solve for x
    x = 143,292,110.72/10,510.20
  6. Step 6: Final answer
    x = 13,633.62

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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.