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Finding the Fourth Proportional to 1,428,582.51, 1,971,437.67 and 784,013.13

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Solution

The fourth proportional to 1,428,582.51, 1,971,437.67 and 784,013.13 is: 1,081,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,582.51 : 1,971,437.67 = 784,013.13 : x
  2. Step 2: Convert to fraction form
    1,428,582.51/1,971,437.67 = 784,013.13/x
  3. Step 3: Cross multiply
    1,428,582.51x = 1,971,437.67 × 784,013.13
  4. Step 4: Simplify right side
    1,428,582.51x = 1,545,633,018,256.61
  5. Step 5: Solve for x
    x = 1,545,633,018,256.61/1,428,582.51
  6. Step 6: Final answer
    x = 1,081,934.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.