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Finding the Fourth Proportional to 10,009, 15,045.90 and 9,287.56

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Solution

The fourth proportional to 10,009, 15,045.90 and 9,287.56 is: 13,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009 : 15,045.90 = 9,287.56 : x
  2. Step 2: Convert to fraction form
    10,009/15,045.90 = 9,287.56/x
  3. Step 3: Cross multiply
    10,009x = 15,045.90 × 9,287.56
  4. Step 4: Simplify right side
    10,009x = 139,739,699.00
  5. Step 5: Solve for x
    x = 139,739,699.00/10,009
  6. Step 6: Final answer
    x = 13,961.40

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1.5x scale

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.