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Finding the Fourth Proportional to 15,406.32, 23,111.08 and 7,607.60

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Solution

The fourth proportional to 15,406.32, 23,111.08 and 7,607.60 is: 11,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.32 : 23,111.08 = 7,607.60 : x
  2. Step 2: Convert to fraction form
    15,406.32/23,111.08 = 7,607.60/x
  3. Step 3: Cross multiply
    15,406.32x = 23,111.08 × 7,607.60
  4. Step 4: Simplify right side
    15,406.32x = 175,819,852.21
  5. Step 5: Solve for x
    x = 175,819,852.21/15,406.32
  6. Step 6: Final answer
    x = 11,412.19

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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.