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Finding the Fourth Proportional to 9,207.24, 12,703.78 and 5,430.10

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Solution

The fourth proportional to 9,207.24, 12,703.78 and 5,430.10 is: 7,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.24 : 12,703.78 = 5,430.10 : x
  2. Step 2: Convert to fraction form
    9,207.24/12,703.78 = 5,430.10/x
  3. Step 3: Cross multiply
    9,207.24x = 12,703.78 × 5,430.10
  4. Step 4: Simplify right side
    9,207.24x = 68,982,795.78
  5. Step 5: Solve for x
    x = 68,982,795.78/9,207.24
  6. Step 6: Final answer
    x = 7,492.23

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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.