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Finding the Fourth Proportional to 31,607.40, 47,413.80 and 9,419.40

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Solution

The fourth proportional to 31,607.40, 47,413.80 and 9,419.40 is: 14,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.40 : 47,413.80 = 9,419.40 : x
  2. Step 2: Convert to fraction form
    31,607.40/47,413.80 = 9,419.40/x
  3. Step 3: Cross multiply
    31,607.40x = 47,413.80 × 9,419.40
  4. Step 4: Simplify right side
    31,607.40x = 446,609,547.72
  5. Step 5: Solve for x
    x = 446,609,547.72/31,607.40
  6. Step 6: Final answer
    x = 14,129.90

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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.