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Finding the Fourth Proportional to 7,304.80, 10,903.85 and 6,430

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Solution

The fourth proportional to 7,304.80, 10,903.85 and 6,430 is: 9,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.80 : 10,903.85 = 6,430 : x
  2. Step 2: Convert to fraction form
    7,304.80/10,903.85 = 6,430/x
  3. Step 3: Cross multiply
    7,304.80x = 10,903.85 × 6,430
  4. Step 4: Simplify right side
    7,304.80x = 70,111,755.50
  5. Step 5: Solve for x
    x = 70,111,755.50/7,304.80
  6. Step 6: Final answer
    x = 9,598.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.