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Finding the Fourth Proportional to 10,459.30, 15,691.08 and 9,413.62

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Solution

The fourth proportional to 10,459.30, 15,691.08 and 9,413.62 is: 14,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.30 : 15,691.08 = 9,413.62 : x
  2. Step 2: Convert to fraction form
    10,459.30/15,691.08 = 9,413.62/x
  3. Step 3: Cross multiply
    10,459.30x = 15,691.08 × 9,413.62
  4. Step 4: Simplify right side
    10,459.30x = 147,709,864.51
  5. Step 5: Solve for x
    x = 147,709,864.51/10,459.30
  6. Step 6: Final answer
    x = 14,122.35

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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.