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Finding the Fourth Proportional to 10,030.38, 13,842 and 5,554.20

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Solution

The fourth proportional to 10,030.38, 13,842 and 5,554.20 is: 7,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.38 : 13,842 = 5,554.20 : x
  2. Step 2: Convert to fraction form
    10,030.38/13,842 = 5,554.20/x
  3. Step 3: Cross multiply
    10,030.38x = 13,842 × 5,554.20
  4. Step 4: Simplify right side
    10,030.38x = 76,881,236.40
  5. Step 5: Solve for x
    x = 76,881,236.40/10,030.38
  6. Step 6: Final answer
    x = 7,664.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.