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Finding the Fourth Proportional to 10,851.92, 14,970.24 and 7,308.98

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Solution

The fourth proportional to 10,851.92, 14,970.24 and 7,308.98 is: 10,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.92 : 14,970.24 = 7,308.98 : x
  2. Step 2: Convert to fraction form
    10,851.92/14,970.24 = 7,308.98/x
  3. Step 3: Cross multiply
    10,851.92x = 14,970.24 × 7,308.98
  4. Step 4: Simplify right side
    10,851.92x = 109,417,184.76
  5. Step 5: Solve for x
    x = 109,417,184.76/10,851.92
  6. Step 6: Final answer
    x = 10,082.75

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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.