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Finding the Fourth Proportional to 10,547.80, 15,798.86 and 4,992.76

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Solution

The fourth proportional to 10,547.80, 15,798.86 and 4,992.76 is: 7,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.80 : 15,798.86 = 4,992.76 : x
  2. Step 2: Convert to fraction form
    10,547.80/15,798.86 = 4,992.76/x
  3. Step 3: Cross multiply
    10,547.80x = 15,798.86 × 4,992.76
  4. Step 4: Simplify right side
    10,547.80x = 78,879,916.25
  5. Step 5: Solve for x
    x = 78,879,916.25/10,547.80
  6. Step 6: Final answer
    x = 7,478.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.