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Finding the Fourth Proportional to 9,603.28, 14,378.16 and 4,913.20

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Solution

The fourth proportional to 9,603.28, 14,378.16 and 4,913.20 is: 7,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.28 : 14,378.16 = 4,913.20 : x
  2. Step 2: Convert to fraction form
    9,603.28/14,378.16 = 4,913.20/x
  3. Step 3: Cross multiply
    9,603.28x = 14,378.16 × 4,913.20
  4. Step 4: Simplify right side
    9,603.28x = 70,642,775.71
  5. Step 5: Solve for x
    x = 70,642,775.71/9,603.28
  6. Step 6: Final answer
    x = 7,356.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.