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Finding the Fourth Proportional to 30,484.64, 45,715.47 and 10,488.48

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Solution

The fourth proportional to 30,484.64, 45,715.47 and 10,488.48 is: 15,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,484.64 : 45,715.47 = 10,488.48 : x
  2. Step 2: Convert to fraction form
    30,484.64/45,715.47 = 10,488.48/x
  3. Step 3: Cross multiply
    30,484.64x = 45,715.47 × 10,488.48
  4. Step 4: Simplify right side
    30,484.64x = 479,485,792.79
  5. Step 5: Solve for x
    x = 479,485,792.79/30,484.64
  6. Step 6: Final answer
    x = 15,728.77

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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.