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Finding the Fourth Proportional to 30,492.59, 45,744 and 10,501.28

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Solution

The fourth proportional to 30,492.59, 45,744 and 10,501.28 is: 15,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.59 : 45,744 = 10,501.28 : x
  2. Step 2: Convert to fraction form
    30,492.59/45,744 = 10,501.28/x
  3. Step 3: Cross multiply
    30,492.59x = 45,744 × 10,501.28
  4. Step 4: Simplify right side
    30,492.59x = 480,370,323.60
  5. Step 5: Solve for x
    x = 480,370,323.60/30,492.59
  6. Step 6: Final answer
    x = 15,753.68

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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.