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Finding the Fourth Proportional to 30,360, 45,547.68 and 8,472

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Solution

The fourth proportional to 30,360, 45,547.68 and 8,472 is: 12,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360 : 45,547.68 = 8,472 : x
  2. Step 2: Convert to fraction form
    30,360/45,547.68 = 8,472/x
  3. Step 3: Cross multiply
    30,360x = 45,547.68 × 8,472
  4. Step 4: Simplify right side
    30,360x = 385,879,944.96
  5. Step 5: Solve for x
    x = 385,879,944.96/30,360
  6. Step 6: Final answer
    x = 12,710.14

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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.