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Finding the Fourth Proportional to 10,248, 15,296.25 and 9,999.33

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Solution

The fourth proportional to 10,248, 15,296.25 and 9,999.33 is: 14,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248 : 15,296.25 = 9,999.33 : x
  2. Step 2: Convert to fraction form
    10,248/15,296.25 = 9,999.33/x
  3. Step 3: Cross multiply
    10,248x = 15,296.25 × 9,999.33
  4. Step 4: Simplify right side
    10,248x = 152,952,251.51
  5. Step 5: Solve for x
    x = 152,952,251.51/10,248
  6. Step 6: Final answer
    x = 14,925.08

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1.5x scale

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.