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Finding the Fourth Proportional to 30,339.63, 45,509.45 and 9,564.75

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Solution

The fourth proportional to 30,339.63, 45,509.45 and 9,564.75 is: 14,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339.63 : 45,509.45 = 9,564.75 : x
  2. Step 2: Convert to fraction form
    30,339.63/45,509.45 = 9,564.75/x
  3. Step 3: Cross multiply
    30,339.63x = 45,509.45 × 9,564.75
  4. Step 4: Simplify right side
    30,339.63x = 435,286,464.06
  5. Step 5: Solve for x
    x = 435,286,464.06/30,339.63
  6. Step 6: Final answer
    x = 14,347.13

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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.