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Finding the Fourth Proportional to 1,547.21, 2,316.85 and 853.11

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Solution

The fourth proportional to 1,547.21, 2,316.85 and 853.11 is: 1,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.21 : 2,316.85 = 853.11 : x
  2. Step 2: Convert to fraction form
    1,547.21/2,316.85 = 853.11/x
  3. Step 3: Cross multiply
    1,547.21x = 2,316.85 × 853.11
  4. Step 4: Simplify right side
    1,547.21x = 1,976,525.89
  5. Step 5: Solve for x
    x = 1,976,525.89/1,547.21
  6. Step 6: Final answer
    x = 1,277.48

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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.