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Finding the Fourth Proportional to 11,312, 15,610.56 and 6,345.60

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Solution

The fourth proportional to 11,312, 15,610.56 and 6,345.60 is: 8,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312 : 15,610.56 = 6,345.60 : x
  2. Step 2: Convert to fraction form
    11,312/15,610.56 = 6,345.60/x
  3. Step 3: Cross multiply
    11,312x = 15,610.56 × 6,345.60
  4. Step 4: Simplify right side
    11,312x = 99,058,369.54
  5. Step 5: Solve for x
    x = 99,058,369.54/11,312
  6. Step 6: Final answer
    x = 8,756.93

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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.