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Finding the Fourth Proportional to 10,088, 13,923.28 and 9,645.20

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Solution

The fourth proportional to 10,088, 13,923.28 and 9,645.20 is: 13,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088 : 13,923.28 = 9,645.20 : x
  2. Step 2: Convert to fraction form
    10,088/13,923.28 = 9,645.20/x
  3. Step 3: Cross multiply
    10,088x = 13,923.28 × 9,645.20
  4. Step 4: Simplify right side
    10,088x = 134,292,820.26
  5. Step 5: Solve for x
    x = 134,292,820.26/10,088
  6. Step 6: Final answer
    x = 13,312.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.