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Finding the Fourth Proportional to 12,586.66, 18,866.16 and 5,187.08

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Solution

The fourth proportional to 12,586.66, 18,866.16 and 5,187.08 is: 7,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.66 : 18,866.16 = 5,187.08 : x
  2. Step 2: Convert to fraction form
    12,586.66/18,866.16 = 5,187.08/x
  3. Step 3: Cross multiply
    12,586.66x = 18,866.16 × 5,187.08
  4. Step 4: Simplify right side
    12,586.66x = 97,860,328.38
  5. Step 5: Solve for x
    x = 97,860,328.38/12,586.66
  6. Step 6: Final answer
    x = 7,774.93

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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.