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Finding the Fourth Proportional to 10,615.16, 15,844.89 and 9,369.76

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Solution

The fourth proportional to 10,615.16, 15,844.89 and 9,369.76 is: 13,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.16 : 15,844.89 = 9,369.76 : x
  2. Step 2: Convert to fraction form
    10,615.16/15,844.89 = 9,369.76/x
  3. Step 3: Cross multiply
    10,615.16x = 15,844.89 × 9,369.76
  4. Step 4: Simplify right side
    10,615.16x = 148,462,816.53
  5. Step 5: Solve for x
    x = 148,462,816.53/10,615.16
  6. Step 6: Final answer
    x = 13,985.92

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1.5x scale

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.