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Finding the Fourth Proportional to 30,465, 45,697.56 and 9,688.56

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Solution

The fourth proportional to 30,465, 45,697.56 and 9,688.56 is: 14,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465 : 45,697.56 = 9,688.56 : x
  2. Step 2: Convert to fraction form
    30,465/45,697.56 = 9,688.56/x
  3. Step 3: Cross multiply
    30,465x = 45,697.56 × 9,688.56
  4. Step 4: Simplify right side
    30,465x = 442,743,551.91
  5. Step 5: Solve for x
    x = 442,743,551.91/30,465
  6. Step 6: Final answer
    x = 14,532.86

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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.