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Finding the Fourth Proportional to 10,482.12, 15,665.45 and 9,875.25

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Solution

The fourth proportional to 10,482.12, 15,665.45 and 9,875.25 is: 14,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.12 : 15,665.45 = 9,875.25 : x
  2. Step 2: Convert to fraction form
    10,482.12/15,665.45 = 9,875.25/x
  3. Step 3: Cross multiply
    10,482.12x = 15,665.45 × 9,875.25
  4. Step 4: Simplify right side
    10,482.12x = 154,700,185.74
  5. Step 5: Solve for x
    x = 154,700,185.74/10,482.12
  6. Step 6: Final answer
    x = 14,758.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.