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Finding the Fourth Proportional to 10,420.24, 14,377.08 and 6,696.40

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Solution

The fourth proportional to 10,420.24, 14,377.08 and 6,696.40 is: 9,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.24 : 14,377.08 = 6,696.40 : x
  2. Step 2: Convert to fraction form
    10,420.24/14,377.08 = 6,696.40/x
  3. Step 3: Cross multiply
    10,420.24x = 14,377.08 × 6,696.40
  4. Step 4: Simplify right side
    10,420.24x = 96,274,678.51
  5. Step 5: Solve for x
    x = 96,274,678.51/10,420.24
  6. Step 6: Final answer
    x = 9,239.20

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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.