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Finding the Fourth Proportional to 10,390.80, 14,343.52 and 7,032

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Solution

The fourth proportional to 10,390.80, 14,343.52 and 7,032 is: 9,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.80 : 14,343.52 = 7,032 : x
  2. Step 2: Convert to fraction form
    10,390.80/14,343.52 = 7,032/x
  3. Step 3: Cross multiply
    10,390.80x = 14,343.52 × 7,032
  4. Step 4: Simplify right side
    10,390.80x = 100,863,632.64
  5. Step 5: Solve for x
    x = 100,863,632.64/10,390.80
  6. Step 6: Final answer
    x = 9,707.01

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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.