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Finding the Fourth Proportional to 25,642.58, 38,466.94 and 7,870.91

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Solution

The fourth proportional to 25,642.58, 38,466.94 and 7,870.91 is: 11,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.58 : 38,466.94 = 7,870.91 : x
  2. Step 2: Convert to fraction form
    25,642.58/38,466.94 = 7,870.91/x
  3. Step 3: Cross multiply
    25,642.58x = 38,466.94 × 7,870.91
  4. Step 4: Simplify right side
    25,642.58x = 302,769,668.07
  5. Step 5: Solve for x
    x = 302,769,668.07/25,642.58
  6. Step 6: Final answer
    x = 11,807.30

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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.