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Finding the Fourth Proportional to 15,509.41, 23,261.91 and 4,978.07

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Solution

The fourth proportional to 15,509.41, 23,261.91 and 4,978.07 is: 7,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.41 : 23,261.91 = 4,978.07 : x
  2. Step 2: Convert to fraction form
    15,509.41/23,261.91 = 4,978.07/x
  3. Step 3: Cross multiply
    15,509.41x = 23,261.91 × 4,978.07
  4. Step 4: Simplify right side
    15,509.41x = 115,799,416.31
  5. Step 5: Solve for x
    x = 115,799,416.31/15,509.41
  6. Step 6: Final answer
    x = 7,466.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.