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Finding the Fourth Proportional to 9,681.54, 13,359.74 and 5,432.01

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Solution

The fourth proportional to 9,681.54, 13,359.74 and 5,432.01 is: 7,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.54 : 13,359.74 = 5,432.01 : x
  2. Step 2: Convert to fraction form
    9,681.54/13,359.74 = 5,432.01/x
  3. Step 3: Cross multiply
    9,681.54x = 13,359.74 × 5,432.01
  4. Step 4: Simplify right side
    9,681.54x = 72,570,261.10
  5. Step 5: Solve for x
    x = 72,570,261.10/9,681.54
  6. Step 6: Final answer
    x = 7,495.74

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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.