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Finding the Fourth Proportional to 10,830.48, 14,948.04 and 9,059.28

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Solution

The fourth proportional to 10,830.48, 14,948.04 and 9,059.28 is: 12,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.48 : 14,948.04 = 9,059.28 : x
  2. Step 2: Convert to fraction form
    10,830.48/14,948.04 = 9,059.28/x
  3. Step 3: Cross multiply
    10,830.48x = 14,948.04 × 9,059.28
  4. Step 4: Simplify right side
    10,830.48x = 135,418,479.81
  5. Step 5: Solve for x
    x = 135,418,479.81/10,830.48
  6. Step 6: Final answer
    x = 12,503.46

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