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Finding the Fourth Proportional to 7,358.72, 11,038.40 and 4,428

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Solution

The fourth proportional to 7,358.72, 11,038.40 and 4,428 is: 6,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.72 : 11,038.40 = 4,428 : x
  2. Step 2: Convert to fraction form
    7,358.72/11,038.40 = 4,428/x
  3. Step 3: Cross multiply
    7,358.72x = 11,038.40 × 4,428
  4. Step 4: Simplify right side
    7,358.72x = 48,878,035.20
  5. Step 5: Solve for x
    x = 48,878,035.20/7,358.72
  6. Step 6: Final answer
    x = 6,642.19

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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.