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Finding the Fourth Proportional to 30,307.68, 45,468.72 and 9,531

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Solution

The fourth proportional to 30,307.68, 45,468.72 and 9,531 is: 14,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.68 : 45,468.72 = 9,531 : x
  2. Step 2: Convert to fraction form
    30,307.68/45,468.72 = 9,531/x
  3. Step 3: Cross multiply
    30,307.68x = 45,468.72 × 9,531
  4. Step 4: Simplify right side
    30,307.68x = 433,362,370.32
  5. Step 5: Solve for x
    x = 433,362,370.32/30,307.68
  6. Step 6: Final answer
    x = 14,298.76

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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.