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Finding the Fourth Proportional to 31,607.59, 47,411.37 and 9,420.40

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Solution

The fourth proportional to 31,607.59, 47,411.37 and 9,420.40 is: 14,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.59 : 47,411.37 = 9,420.40 : x
  2. Step 2: Convert to fraction form
    31,607.59/47,411.37 = 9,420.40/x
  3. Step 3: Cross multiply
    31,607.59x = 47,411.37 × 9,420.40
  4. Step 4: Simplify right side
    31,607.59x = 446,634,069.95
  5. Step 5: Solve for x
    x = 446,634,069.95/31,607.59
  6. Step 6: Final answer
    x = 14,130.60

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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.