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Finding the Fourth Proportional to 23,423.64, 35,139.78 and 7,417.20

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Solution

The fourth proportional to 23,423.64, 35,139.78 and 7,417.20 is: 11,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.64 : 35,139.78 = 7,417.20 : x
  2. Step 2: Convert to fraction form
    23,423.64/35,139.78 = 7,417.20/x
  3. Step 3: Cross multiply
    23,423.64x = 35,139.78 × 7,417.20
  4. Step 4: Simplify right side
    23,423.64x = 260,638,776.22
  5. Step 5: Solve for x
    x = 260,638,776.22/23,423.64
  6. Step 6: Final answer
    x = 11,127.17

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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.