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Finding the Fourth Proportional to 8,964, 12,370.14 and 4,985.04

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Solution

The fourth proportional to 8,964, 12,370.14 and 4,985.04 is: 6,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 12,370.14 = 4,985.04 : x
  2. Step 2: Convert to fraction form
    8,964/12,370.14 = 4,985.04/x
  3. Step 3: Cross multiply
    8,964x = 12,370.14 × 4,985.04
  4. Step 4: Simplify right side
    8,964x = 61,665,642.71
  5. Step 5: Solve for x
    x = 61,665,642.71/8,964
  6. Step 6: Final answer
    x = 6,879.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.