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Finding the Fourth Proportional to 14,724, 22,089.60 and 5,490

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Solution

The fourth proportional to 14,724, 22,089.60 and 5,490 is: 8,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,724 : 22,089.60 = 5,490 : x
  2. Step 2: Convert to fraction form
    14,724/22,089.60 = 5,490/x
  3. Step 3: Cross multiply
    14,724x = 22,089.60 × 5,490
  4. Step 4: Simplify right side
    14,724x = 121,271,904.00
  5. Step 5: Solve for x
    x = 121,271,904.00/14,724
  6. Step 6: Final answer
    x = 8,236.34

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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.