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Finding the Fourth Proportional to 7,047.36, 10,572 and 2,430.72

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Solution

The fourth proportional to 7,047.36, 10,572 and 2,430.72 is: 3,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.36 : 10,572 = 2,430.72 : x
  2. Step 2: Convert to fraction form
    7,047.36/10,572 = 2,430.72/x
  3. Step 3: Cross multiply
    7,047.36x = 10,572 × 2,430.72
  4. Step 4: Simplify right side
    7,047.36x = 25,697,571.84
  5. Step 5: Solve for x
    x = 25,697,571.84/7,047.36
  6. Step 6: Final answer
    x = 3,646.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.