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Finding the Fourth Proportional to 9,615.72, 14,385.65 and 7,282.47

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Solution

The fourth proportional to 9,615.72, 14,385.65 and 7,282.47 is: 10,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.72 : 14,385.65 = 7,282.47 : x
  2. Step 2: Convert to fraction form
    9,615.72/14,385.65 = 7,282.47/x
  3. Step 3: Cross multiply
    9,615.72x = 14,385.65 × 7,282.47
  4. Step 4: Simplify right side
    9,615.72x = 104,763,082.09
  5. Step 5: Solve for x
    x = 104,763,082.09/9,615.72
  6. Step 6: Final answer
    x = 10,894.98

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1.5x scale

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.