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Finding the Fourth Proportional to 9,428, 13,010.64 and 5,702

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Solution

The fourth proportional to 9,428, 13,010.64 and 5,702 is: 7,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428 : 13,010.64 = 5,702 : x
  2. Step 2: Convert to fraction form
    9,428/13,010.64 = 5,702/x
  3. Step 3: Cross multiply
    9,428x = 13,010.64 × 5,702
  4. Step 4: Simplify right side
    9,428x = 74,186,669.28
  5. Step 5: Solve for x
    x = 74,186,669.28/9,428
  6. Step 6: Final answer
    x = 7,868.76

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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.