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Finding the Fourth Proportional to 9,140.40, 13,710.93 and 4,696.87

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Solution

The fourth proportional to 9,140.40, 13,710.93 and 4,696.87 is: 7,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.40 : 13,710.93 = 4,696.87 : x
  2. Step 2: Convert to fraction form
    9,140.40/13,710.93 = 4,696.87/x
  3. Step 3: Cross multiply
    9,140.40x = 13,710.93 × 4,696.87
  4. Step 4: Simplify right side
    9,140.40x = 64,398,455.79
  5. Step 5: Solve for x
    x = 64,398,455.79/9,140.40
  6. Step 6: Final answer
    x = 7,045.47

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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.