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Finding the Fourth Proportional to 10,075.60, 15,084.60 and 9,787.60

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Solution

The fourth proportional to 10,075.60, 15,084.60 and 9,787.60 is: 14,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.60 : 15,084.60 = 9,787.60 : x
  2. Step 2: Convert to fraction form
    10,075.60/15,084.60 = 9,787.60/x
  3. Step 3: Cross multiply
    10,075.60x = 15,084.60 × 9,787.60
  4. Step 4: Simplify right side
    10,075.60x = 147,642,030.96
  5. Step 5: Solve for x
    x = 147,642,030.96/10,075.60
  6. Step 6: Final answer
    x = 14,653.42

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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.