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Finding the Fourth Proportional to 12,386.99, 18,585.69 and 7,710.91

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Solution

The fourth proportional to 12,386.99, 18,585.69 and 7,710.91 is: 11,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.99 : 18,585.69 = 7,710.91 : x
  2. Step 2: Convert to fraction form
    12,386.99/18,585.69 = 7,710.91/x
  3. Step 3: Cross multiply
    12,386.99x = 18,585.69 × 7,710.91
  4. Step 4: Simplify right side
    12,386.99x = 143,312,536.41
  5. Step 5: Solve for x
    x = 143,312,536.41/12,386.99
  6. Step 6: Final answer
    x = 11,569.61

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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.