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Finding the Fourth Proportional to 30,307.65, 45,468.77 and 9,531.15

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Solution

The fourth proportional to 30,307.65, 45,468.77 and 9,531.15 is: 14,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.65 : 45,468.77 = 9,531.15 : x
  2. Step 2: Convert to fraction form
    30,307.65/45,468.77 = 9,531.15/x
  3. Step 3: Cross multiply
    30,307.65x = 45,468.77 × 9,531.15
  4. Step 4: Simplify right side
    30,307.65x = 433,369,619.53
  5. Step 5: Solve for x
    x = 433,369,619.53/30,307.65
  6. Step 6: Final answer
    x = 14,299.02

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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.