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Finding the Fourth Proportional to 7,402, 10,214.76 and 4,090

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Solution

The fourth proportional to 7,402, 10,214.76 and 4,090 is: 5,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402 : 10,214.76 = 4,090 : x
  2. Step 2: Convert to fraction form
    7,402/10,214.76 = 4,090/x
  3. Step 3: Cross multiply
    7,402x = 10,214.76 × 4,090
  4. Step 4: Simplify right side
    7,402x = 41,778,368.40
  5. Step 5: Solve for x
    x = 41,778,368.40/7,402
  6. Step 6: Final answer
    x = 5,644.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.