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Finding the Fourth Proportional to 10,610.48, 14,632.28 and 7,023.80

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Solution

The fourth proportional to 10,610.48, 14,632.28 and 7,023.80 is: 9,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.48 : 14,632.28 = 7,023.80 : x
  2. Step 2: Convert to fraction form
    10,610.48/14,632.28 = 7,023.80/x
  3. Step 3: Cross multiply
    10,610.48x = 14,632.28 × 7,023.80
  4. Step 4: Simplify right side
    10,610.48x = 102,774,208.26
  5. Step 5: Solve for x
    x = 102,774,208.26/10,610.48
  6. Step 6: Final answer
    x = 9,686.10

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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.