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Finding the Fourth Proportional to 15,490, 23,237.88 and 7,282

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Solution

The fourth proportional to 15,490, 23,237.88 and 7,282 is: 10,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490 : 23,237.88 = 7,282 : x
  2. Step 2: Convert to fraction form
    15,490/23,237.88 = 7,282/x
  3. Step 3: Cross multiply
    15,490x = 23,237.88 × 7,282
  4. Step 4: Simplify right side
    15,490x = 169,218,242.16
  5. Step 5: Solve for x
    x = 169,218,242.16/15,490
  6. Step 6: Final answer
    x = 10,924.35

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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.