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Finding the Fourth Proportional to 10,472.16, 14,442.93 and 7,109.46

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Solution

The fourth proportional to 10,472.16, 14,442.93 and 7,109.46 is: 9,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.16 : 14,442.93 = 7,109.46 : x
  2. Step 2: Convert to fraction form
    10,472.16/14,442.93 = 7,109.46/x
  3. Step 3: Cross multiply
    10,472.16x = 14,442.93 × 7,109.46
  4. Step 4: Simplify right side
    10,472.16x = 102,681,433.12
  5. Step 5: Solve for x
    x = 102,681,433.12/10,472.16
  6. Step 6: Final answer
    x = 9,805.18

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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.