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Finding the Fourth Proportional to 13,565.64, 18,720.08 and 7,597.02

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Solution

The fourth proportional to 13,565.64, 18,720.08 and 7,597.02 is: 10,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.64 : 18,720.08 = 7,597.02 : x
  2. Step 2: Convert to fraction form
    13,565.64/18,720.08 = 7,597.02/x
  3. Step 3: Cross multiply
    13,565.64x = 18,720.08 × 7,597.02
  4. Step 4: Simplify right side
    13,565.64x = 142,216,822.16
  5. Step 5: Solve for x
    x = 142,216,822.16/13,565.64
  6. Step 6: Final answer
    x = 10,483.61

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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.