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Finding the Fourth Proportional to 9,817.32, 13,559.70 and 7,160.52

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Solution

The fourth proportional to 9,817.32, 13,559.70 and 7,160.52 is: 9,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.32 : 13,559.70 = 7,160.52 : x
  2. Step 2: Convert to fraction form
    9,817.32/13,559.70 = 7,160.52/x
  3. Step 3: Cross multiply
    9,817.32x = 13,559.70 × 7,160.52
  4. Step 4: Simplify right side
    9,817.32x = 97,094,503.04
  5. Step 5: Solve for x
    x = 97,094,503.04/9,817.32
  6. Step 6: Final answer
    x = 9,890.12

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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.