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Finding the Fourth Proportional to 9,913.96, 14,875.74 and 4,071.40

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Solution

The fourth proportional to 9,913.96, 14,875.74 and 4,071.40 is: 6,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.96 : 14,875.74 = 4,071.40 : x
  2. Step 2: Convert to fraction form
    9,913.96/14,875.74 = 4,071.40/x
  3. Step 3: Cross multiply
    9,913.96x = 14,875.74 × 4,071.40
  4. Step 4: Simplify right side
    9,913.96x = 60,565,087.84
  5. Step 5: Solve for x
    x = 60,565,087.84/9,913.96
  6. Step 6: Final answer
    x = 6,109.07

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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.