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Finding the Fourth Proportional to 9,909.81, 14,862.82 and 4,978.08

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Solution

The fourth proportional to 9,909.81, 14,862.82 and 4,978.08 is: 7,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.81 : 14,862.82 = 4,978.08 : x
  2. Step 2: Convert to fraction form
    9,909.81/14,862.82 = 4,978.08/x
  3. Step 3: Cross multiply
    9,909.81x = 14,862.82 × 4,978.08
  4. Step 4: Simplify right side
    9,909.81x = 73,988,220.23
  5. Step 5: Solve for x
    x = 73,988,220.23/9,909.81
  6. Step 6: Final answer
    x = 7,466.16

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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.