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Finding the Fourth Proportional to 31,698.51, 47,506.53 and 12,957.12

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Solution

The fourth proportional to 31,698.51, 47,506.53 and 12,957.12 is: 19,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.51 : 47,506.53 = 12,957.12 : x
  2. Step 2: Convert to fraction form
    31,698.51/47,506.53 = 12,957.12/x
  3. Step 3: Cross multiply
    31,698.51x = 47,506.53 × 12,957.12
  4. Step 4: Simplify right side
    31,698.51x = 615,547,809.99
  5. Step 5: Solve for x
    x = 615,547,809.99/31,698.51
  6. Step 6: Final answer
    x = 19,418.82

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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.