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Finding the Fourth Proportional to 30,329.76, 45,478.80 and 9,547.68

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Solution

The fourth proportional to 30,329.76, 45,478.80 and 9,547.68 is: 14,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,329.76 : 45,478.80 = 9,547.68 : x
  2. Step 2: Convert to fraction form
    30,329.76/45,478.80 = 9,547.68/x
  3. Step 3: Cross multiply
    30,329.76x = 45,478.80 × 9,547.68
  4. Step 4: Simplify right side
    30,329.76x = 434,217,029.18
  5. Step 5: Solve for x
    x = 434,217,029.18/30,329.76
  6. Step 6: Final answer
    x = 14,316.53

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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.