Home / 10,511.02-15,772-9,905.96

Finding the Fourth Proportional to 10,511.02, 15,772 and 9,905.96

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Solution

The fourth proportional to 10,511.02, 15,772 and 9,905.96 is: 14,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.02 : 15,772 = 9,905.96 : x
  2. Step 2: Convert to fraction form
    10,511.02/15,772 = 9,905.96/x
  3. Step 3: Cross multiply
    10,511.02x = 15,772 × 9,905.96
  4. Step 4: Simplify right side
    10,511.02x = 156,236,801.12
  5. Step 5: Solve for x
    x = 156,236,801.12/10,511.02
  6. Step 6: Final answer
    x = 14,864.10

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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.